Det tager tid at skabe tillid, men ansvar og respekt gør samarbejdet lettere.

Here det is a formal/dummy subject, just like it in English it takes time.

In Danish, a main clause normally needs a subject, so det fills that slot in expressions like:

• Det tager tid = It takes time
• Det er vigtigt = It is important

The real idea is in at skabe tillid. So structurally, Danish says:

• Det = grammatical subject
• tager tid = takes time
• at skabe tillid = what takes time

Det tager tid is the normal Danish way to say it takes time.

• tage = to take
• tager = present tense

So this is a very direct match with English. It is a common fixed expression.

Also, Danish verbs do not change for person:

• jeg tager
• du tager
• han tager
• de tager

So tager stays the same no matter who or what the subject is.

Because at skabe is the infinitive, meaning to create/build.

After expressions like det tager tid, Danish often uses an infinitive phrase to explain what takes time:

• Det tager tid at lære dansk
• Det tager tid at ændre vaner
• Det tager tid at skabe tillid

If you used skaber, that would be a finite verb (creates) and it would need its own subject.

So:

• at skabe = to create / to build
• skaber = creates / is creating

Because these are mostly being used as abstract nouns in a general sense.

Danish often leaves out the article with abstract ideas, much like English does:

• tid = time
• tillid = trust
• ansvar = responsibility
• respekt = respect

So here they mean those qualities in general, not one specific countable item.

Compare:

• ansvar = responsibility in general
• et ansvar = a responsibility, one particular duty

And:

• tid = time in general
• en tid = a period of time / an era (different meaning)

Samarbejdet is the definite form: the cooperation / the collaboration.

The sentence is talking about the cooperation involved in the situation already being discussed, not cooperation as a completely abstract concept. Danish often uses the definite form where English might still use a more general noun.

So:

• samarbejde = cooperation, collaboration
• samarbejdet = the cooperation / the collaboration

In this sentence, gør samarbejdet lettere means makes the cooperation easier or more naturally makes cooperation easier.

Because lettere means easier, the comparative form of let.

The pattern is:

• gøre noget lettere = make something easier

So the sentence does not say cooperation becomes fully easy; it says it becomes easier than before.

A quick comparison:

• let = easy / light
• lettere = easier
• nem / nemt = easy in many contexts too, often more about practical ease

Here lettere is the most natural choice because gør X lettere is a very common structure.

Because men is a coordinating conjunction. After a coordinating conjunction, Danish keeps normal main-clause word order:

• subject + verb

So:

• men ansvar og respekt gør samarbejdet lettere

is normal.

There is no inversion here because nothing else has been moved to the front of that clause.

Compare:

• Ansvar og respekt gør samarbejdet lettere.
• I praksis gør ansvar og respekt samarbejdet lettere.

In the second example, I praksis is fronted, so the verb comes before the subject.

Because Danish verbs do not change form for singular vs. plural in the present tense.

So the present tense is always:

• gør

Whether the subject is one thing or several things:

• Respekt gør en forskel
• Ansvar og respekt gør en forskel

Both use gør.

So even though ansvar og respekt is a plural idea, the verb form does not change.

Yes, absolutely. Both are natural, but they focus slightly differently.

• gør samarbejdet lettere = makes the cooperation easier
• gør det lettere at samarbejde = makes it easier to cooperate

The first uses a noun phrase (samarbejdet).
The second uses det plus an infinitive phrase (at samarbejde).

The meaning is very close. The version in your sentence is a bit more compact and formal.

Yes, skabe tillid is a very common and natural expression. It corresponds closely to English build trust or create trust.

Danish often uses:

• skabe tillid = create/build trust
• opbygge tillid = build up trust

Skabe tillid is broad and very standard.
Opbygge tillid can sound a little more gradual or process-focused.

So in this sentence, skabe tillid is an excellent, natural choice.