Asigurătorul verifică polița de asigurare înainte de a plăti despăgubirea.

Because -ul is the definite article attached to a masculine singular noun in Romanian.

• asigurător = insurer / an insurer
• asigurătorul = the insurer

Unlike English, Romanian usually puts the at the end of the noun rather than as a separate word in front.

So:

• asigurătorul verifică... = the insurer checks...

For the same reason: Romanian attaches the definite article to the noun.

• poliță = policy

• polița = the policy

• despăgubire = compensation / indemnity / payout
• despăgubirea = the compensation / the payout

In this sentence, both are understood as specific things:

• the insurance policy
• the compensation/payout

That is why the definite forms are used.

Literally, it means the policy of insurance.

Romanian often uses:

• noun + de + noun

where English might prefer a compound noun.

So:

• poliță de asigurare = insurance policy
• literally: policy of insurance

This is very normal Romanian structure.

Here, de links two nouns and works a bit like of in English.

So:

• polița de asigurare = policy of insurance = insurance policy

This use of de is very common in Romanian for naming types of things:

• companie de asigurare = insurance company
• contract de muncă = employment contract
• număr de telefon = phone number

Because Romanian often does not need subject pronouns. The verb form usually already shows the person and number.

• verific = I check
• verifici = you check
• verifică = he/she/it checks

Since the subject noun asigurătorul is already present, a pronoun would be unnecessary.

So Romanian naturally says:

• Asigurătorul verifică...

not something like El asigurătorul verifică...

verifică is the 3rd person singular present tense of a verifica (to check / to verify).

So it can mean:

• he checks
• she checks
• it checks

In this sentence, the subject is asigurătorul (the insurer), so:

• Asigurătorul verifică... = The insurer checks...

This is a very common Romanian structure meaning before doing something or before someone does something.

It breaks down like this:

• înainte = before
• de a = a structure used before the infinitive
• plăti = to pay

So:

• înainte de a plăti = before paying / before to pay
  Natural English: before paying

In your sentence:

• Asigurătorul verifică polița de asigurare înainte de a plăti despăgubirea.
• The insurer checks the insurance policy before paying the compensation.

Yes. plăti is the infinitive form of the verb a plăti (to pay).

After de a, Romanian uses this infinitive form:

• înainte de a plăti = before paying
• fără a spune = without saying
• după a...? → this one is generally not used the same way, so learners should not assume all prepositions behave like this

So in this sentence, plăti is not a finite verb like plătește; it is the infinitive.

Yes, that is also possible.

• înainte de a plăti = before paying
• înainte să plătească = before he/she/it pays

The version with de a + infinitive is often a bit more compact and formal-neutral.
The version with să + subjunctive is also very common.

In this sentence, înainte de a plăti despăgubirea sounds perfectly natural.

In insurance language, despăgubire usually means:

• compensation
• indemnity
• claim payment
• payout

So a plăti despăgubirea means to pay the compensation / make the payout.

In everyday learning, compensation or payout is probably the easiest way to understand it.

Because the sentence refers to one specific compensation payment.

• despăgubirea = the compensation / the payout
• despăgubirile = the compensations / the payouts

Singular makes sense if we are talking about one claim or one payment being processed.

These are related words, and learners often mix them up:

• asigurare = insurance
• asigurător = insurer (the company or entity providing insurance)
• asigurat = insured person (the person who is covered)

So in this sentence:

• asigurătorul = the insurer
• polița de asigurare = the insurance policy

The given word order is the most neutral and natural one:

• Asigurătorul — subject
• verifică — verb
• polița de asigurare — object
• înainte de a plăti despăgubirea — time clause

Romanian word order is somewhat flexible, but changes usually affect emphasis.

For example, you could move the time phrase:

• Înainte de a plăti despăgubirea, asigurătorul verifică polița de asigurare.

This is also correct and means the same thing, but it puts more focus on the before paying part.

A few letters may stand out to an English speaker:

• ă in asigurătorul, verifică, despăgubirea
  A short central vowel, something like the a in sofa, but shorter and unstressed-sounding.

• ț in polița
  Pronounced ts, like the end of cats.

• ș does not appear in this sentence, but learners often confuse it with s.
  ș sounds like sh.

• plăti has ă as described above.

A rough pronunciation guide:

• asigurătorul ≈ ah-see-goo-ruh-TOR-ool
• polița ≈ po-LEE-tsa
• despăgubirea ≈ des-puh-goo-BEE-rea

These are only approximations, but they help at the start.

Yes. In many contexts, a verifica can mean either to check or to verify.

In this sentence, to check sounds more natural in everyday English:

• The insurer checks the insurance policy...

But verify is also possible in a more formal or technical sense:

• The insurer verifies the insurance policy...

So both are reasonable, depending on style.