Bu plan bana mantıklı gibi duruyor.

A natural translation is:

This plan seems reasonable to me.

Depending on context, it could also be:

• This plan looks sensible to me.
• This plan sounds logical to me.
• This plan seems kind of reasonable to me.

The exact shade depends on how strongly you want to hear gibi duruyor.

Turkish does not have articles like the or a/an.

So:

• bu plan = this plan
• plan by itself can mean a plan or the plan, depending on context

Here, bu already means this, so bu plan is simply this plan.

bana means to me.

It comes from the pronoun ben (I) plus the dative ending:

• ben = I
• bana = to me

In this sentence, bana marks whose opinion or perspective is being expressed:

• Bu plan bana mantıklı gibi duruyor = This plan seems reasonable to me

Without bana, the sentence would still work, but it would be less personal:

• Bu plan mantıklı gibi duruyor = This plan seems reasonable

Turkish often uses the dative case to show the person from whose point of view something appears, feels, or seems true.

So in sentences of perception or judgment, Turkish commonly says something like:

• bana ... geliyor
• bana ... görünüyor
• bana ... gibi duruyor

This is similar to English to me:

• To me, this sounds right
• To me, this seems logical

So bana is not random grammar here; it is the normal way to mark in my view / to me.

mantıklı means logical, reasonable, or sensible.

It comes from:

• mantık = logic
• -lı / -li / -lu / -lü = a suffix meaning with, having, characterized by

So:

• mantıklı = with logic, so logical / sensible

This suffix is very common in Turkish:

• tuz = salt → tuzlu = salty
• anlam = meaning → anlamlı = meaningful
• sabır = patience → sabırlı = patient

gibi usually means like / as if / as though.

In this sentence, it helps create the meaning of seeming or appearing:

• mantıklı gibi duruyor = it looks/seems reasonable

Literally, it is something like:

• it stands/appears as if it is reasonable

In natural English, you would not translate each word separately. You would normally just say:

• seems reasonable
• looks reasonable

So gibi is part of the structure that softens the statement and makes it sound like an impression rather than a firm fact.

Yes, durmak often means to stop or to stand/stay. But in Turkish, it also has some extended uses.

In the pattern ... gibi durmak, it can mean:

• to look
• to seem
• to appear

So:

• mantıklı gibi duruyor = it seems/looks reasonable

This is idiomatic. You do not need to understand it only literally as is standing.

Turkish often uses everyday verbs in broader, more natural ways than their basic dictionary meaning.

duruyor is the present continuous form of durmak:

• dur- = verb stem
• -uyor = present continuous

So duruyor literally means is standing / is appearing / is looking.

Here it is third person singular because the subject is bu plan (this plan), which is singular.

Why present continuous? In Turkish, -yor is often used not only for actions happening right now, but also for current impressions and ongoing states in conversation.

So:

• Bu plan bana mantıklı gibi duruyor sounds very natural for This plan seems reasonable to me right now / as I see it

It is generally weaker and more tentative.

Compare:

• Bu plan mantıklı. = This plan is reasonable.
  This sounds more direct and definite.

• Bu plan bana mantıklı gibi duruyor. = This plan seems reasonable to me.
  This sounds more cautious, more subjective, and a bit softer.

So gibi duruyor helps express:

• personal impression
• uncertainty
• politeness
• a less absolute judgment

English often does the same with seems, looks, or kind of.

Yes. Bu plan bana mantıklı geliyor is very natural and probably even more common in everyday Turkish.

It means almost the same:

• This plan seems reasonable to me
• This plan sounds reasonable to me

A rough comparison:

• mantıklı geliyor = seems reasonable to me
• mantıklı görünüyor = looks/appears reasonable
• mantıklı gibi duruyor = looks/seems reasonable, often with a slightly more tentative or impression-based feel

The differences are subtle, and in many situations they overlap.

Yes, that is also possible.

Compare these:

• Bu plan bana mantıklı geliyor.
• Bu plan bana mantıklı gibi geliyor.
• Bu plan bana mantıklı gibi duruyor.

All of them can mean something like This plan seems reasonable to me, but:

• mantıklı geliyor = straightforward and common
• mantıklı gibi geliyor = slightly more hedged, like it kind of seems reasonable
• mantıklı gibi duruyor = also hedged, often based on the overall impression it gives

So adding gibi usually makes the statement feel a little less direct.

Yes, Turkish word order is flexible, although some orders sound more neutral than others.

The neutral version here is:

• Bu plan bana mantıklı gibi duruyor.

You could also hear:

• Bana bu plan mantıklı gibi duruyor.
• Mantıklı gibi duruyor bu plan.

These variations usually change emphasis, not the basic meaning.

For example:

• Bana bu plan mantıklı gibi duruyor emphasizes to me
• Mantıklı gibi duruyor bu plan emphasizes the impression first

For a learner, the original order is a very good standard pattern to use.

Yes.

• Bu plan mantıklı gibi duruyor. = This plan seems reasonable.

Adding bana makes it explicitly subjective:

• Bu plan bana mantıklı gibi duruyor. = This plan seems reasonable to me.

If the conversation already makes it clear whose opinion it is, Turkish may omit bana. But including it is very natural when you want to stress that this is your view, not an objective fact.

It is neutral and natural in everyday Turkish.

It is not slang, and it is not especially formal. You could use it in many normal situations:

• talking with friends
• discussing work ideas
• commenting on a proposal
• giving your opinion politely

If you wanted to sound a little more direct, you might say:

• Bu plan mantıklı.

If you wanted to sound especially careful or diplomatic, the original sentence works very well because it softens the opinion.

A very useful pattern is:

[thing] + [person in dative] + [adjective/noun] + gibi + duruyor/geliyor/görünüyor

For example:

• Bu fikir bana ilginç gibi geliyor.
  This idea seems interesting to me.

• Bu açıklama bana yeterli gibi görünüyor.
  This explanation seems sufficient to me.

• Bu çözüm bana doğru gibi duruyor.
  This solution seems right to me.

This is a great pattern for giving opinions in a softer, more natural way in Turkish.