La ligo inter la laboroj gravas.

Because Esperanto uses la for the, and you use it wherever English would use the.

• La ligo = the connection
• la laboroj = the works / the jobs / the tasks

So the sentence has two separate noun phrases, and each one can need its own la.

Also, la never changes:

• not for singular or plural
• not for gender
• not for case

It is always just la.

Ligo is a noun meaning link, connection, bond, or relation, depending on context.

The ending -o is the regular Esperanto noun ending. So:

• ligi = to tie, bind, connect
• ligo = a connection / link
• liga = connected / linking / related
• lige = in a connected way

A learner should get used to recognizing word class from the ending:

• -o = noun
• -a = adjective
• -e = adverb
• -i = infinitive verb

Because -j marks the plural in Esperanto.

• laboro = a work / a job / a task / labor
• laboroj = works / jobs / tasks

So la laboroj means the works/jobs/tasks.

This sentence is talking about a connection between more than one thing, so the plural makes sense.

Because nothing here is a direct object, and there is no motion toward something that would require -n.

Breakdown:

• La ligo is the subject.
• inter la laboroj is a prepositional phrase.
• gravas is the verb.

In Esperanto, nouns often get -n for the direct object:

• Mi vidas la ligon. = I see the connection.

But in your sentence, la ligo is not being acted on; it is the thing doing the verb gravas.

Also, after a preposition like inter, you normally do not add -n unless there is directional movement in a special construction.

Inter means between or among.

So:

• inter la laboroj = between the works/jobs/tasks

It shows the relationship that the connection has. The sentence is not just saying the connection is important; it is saying the connection between the works is important.

A few comparisons:

• inter du homoj = between two people
• inter amikoj = among friends
• inter la domoj = between the houses

Both are possible, but gravas is a very common Esperanto way to say is important or matters.

Here is the difference:

• La ligo gravas. = The connection is important / The connection matters.
• La ligo estas grava. = The connection is important.

These are very close in meaning. Esperanto often uses verbs built from roots that English might express with be + adjective.

So:

• grava = important
• gravas = is important / matters

This is normal and idiomatic Esperanto.

Because Esperanto verbs do not change according to person or number.

So the verb ending tells you the tense, not whether the subject is I, you, he, they, etc.

• -as = present tense
• -is = past tense
• -os = future tense
• -us = conditional
• -u = command / volitive
• -i = infinitive

Examples:

• Mi gravas = I matter / am important
• Vi gravas = you matter / are important
• La ligo gravas = the connection matters / is important
• La ligoj gravas = the connections matter / are important

The verb stays gravas in all those examples.

The subject is la ligo.

You can tell because gravas is saying something about the connection. The phrase inter la laboroj only explains what kind of connection it is.

So the structure is:

• La ligo = subject
• inter la laboroj = prepositional phrase modifying ligo
• gravas = verb/predicate

In English, it works the same way:

• The connection between the works is important.

The subject is the connection, not the works.

Yes. Esperanto word order is fairly flexible, because endings make the grammar clearer than in English.

The normal neutral order here is:

• La ligo inter la laboroj gravas.

But you could also say:

• Gravas la ligo inter la laboroj.

That version puts more focus on gravas.

Still, the original order is probably the most straightforward for a learner and the most neutral in tone.

It can mean several related things, depending on context.

Laboro often means:

• work
• labor
• task
• job
• piece of work

So laboroj could be:

• jobs
• tasks
• works
• labors

If you mean artistic/literary works, Esperanto often uses verkoj more clearly:

• la verkoj = the works (books, paintings, compositions, etc.)

So whether laboroj is the best word depends on the intended meaning. Grammatically, though, the sentence is perfectly fine.

Because gravas already contains the whole idea of is important.

In English, you often use:

• is + adjective

But Esperanto can often use a single verb built from the same root:

• grava = important
• gravi = to be important, to matter
• gravas = is important, matters

So Esperanto is not omitting is by accident; it is just using a different structure.

You would make the noun plural with -j:

• La ligoj inter la laboroj gravas.

That means:

• The connections between the works/jobs are important.

Notice that the verb still stays gravas, not something different. Verbs do not agree with the subject in number.

A very literal breakdown is:

• La = the
• ligo = connection / link
• inter = between / among
• la = the
• laboroj = works / jobs / tasks
• gravas = is important / matters

So, very literally:

The connection between the works matters.

Or more naturally in English:

The connection between the works is important.