Annak ellenére, hogy a kérelem díjmentes, a terület díjköteles.

Annak ellenére, hogy means despite the fact that, even though, or in spite of the fact that.

In this sentence:

• Annak ellenére, hogy a kérelem díjmentes...
• = Despite the fact that the application is free of charge...

It is a very common Hungarian linking expression for introducing a contrast.

A useful pattern is:

• Annak ellenére, hogy + clause, ...
• Despite the fact that + clause, ...

Example:

• Annak ellenére, hogy esik az eső, elmegyünk.
• Even though it is raining, we are going.

Annak is the dative form of az (that):

• az → annak = to that / of that in form, though here it is part of a fixed structure

Ellenére is a postposition meaning despite / in spite of.

So literally, annak ellenére is something like:

• in spite of that

When followed by hogy + clause, the whole expression becomes:

• annak ellenére, hogy...
• despite the fact that...

So while annak may feel a bit abstract, you should mostly learn annak ellenére, hogy as one set phrase.

Because hogy introduces a full clause.

Compare:

• annak ellenére, hogy a kérelem díjmentes
• despite the fact that the application is free

Here, a kérelem díjmentes is a complete clause, so Hungarian uses hogy.

If you are not introducing a full clause, you would use a different structure. For example:

• A kérelem díjmentessége ellenére...
• Despite the free-of-charge status of the application...

So:

• annak ellenére, hogy + clause
• X ellenére + noun/noun phrase

In Hungarian, the verb to be (van) is usually omitted in the third person singular/plural present tense when it links a subject to a noun, adjective, or similar predicate.

So:

• a kérelem díjmentes
• literally: the application free-of-charge
• natural English: the application is free of charge

And:

• a terület díjköteles
• the area is subject to a fee

This is normal Hungarian grammar.

Compare:

• Én fáradt vagyok. = I am tired.
• Te fáradt vagy. = You are tired.
• Ő fáradt. = He/she is tired.
  → no van

So the missing is is not missing at all by Hungarian standards.

These are both common formal/administrative adjectives.

díjmentes

• díj = fee, charge
• mentes = free from, exempt from

So díjmentes means:

• free of charge
• exempt from fees

díjköteles

• díj = fee
• köteles = bound/obliged, but in compounds often means subject to, requiring

So díjköteles means:

• subject to a fee
• fee-paying
• not free; requires payment

These two words are near opposites in bureaucratic language.

Not quite.

kérelem

This is more formal and often used in official, legal, or administrative contexts. It usually means:

• application
• request in a formal sense

kérés

This is a more general everyday word for:

• request
• something you ask for

So in this sentence, kérelem fits because the context sounds official or bureaucratic.

Compare:

• Van egy kérésem. = I have a request.
• Be kell nyújtani a kérelmet. = The application/request must be submitted.

Literally, terület means:

• area
• territory
• zone
• site
• sometimes field/domain, depending on context

In this sentence, it probably does not mean a geographical territory in the broad sense. In administrative or public-use contexts, terület can mean:

• a specific zone
• a site
• a section of land
• an area where a fee applies

So depending on context, a terület díjköteles could be understood as:

• the area is subject to a fee
• entry/use of the area requires payment
• the site is fee-paying

The exact English translation depends on what kind of terület this is.

Because a/az is the Hungarian definite article, equivalent to the.

So:

• a kérelem = the application
• a terület = the area

Hungarian uses the definite article very frequently, including in cases where English might sometimes sound more natural without repeating the. In this sentence, both nouns refer to specific things already known in context, so the definite article is natural.

The sentence has two parts:

1. Annak ellenére, hogy a kérelem díjmentes

   • subordinate concessive clause
   • even though the application is free of charge

2. a terület díjköteles

   • main clause
   • the area is subject to a fee

So the structure is:

• [Concessive clause], [main clause].

This is similar to English:

• Although the application is free of charge, the area requires a fee.

The comma is standard here because the first part is a subordinate clause.

Yes, in many contexts you could use bár:

• Bár a kérelem díjmentes, a terület díjköteles.

This means:

• Although the application is free of charge, the area is subject to a fee.

The difference is mainly one of style and nuance:

• bár = shorter, simpler, very common for although
• annak ellenére, hogy = more explicit, often a bit more formal or emphatic

Because the original sentence uses formal vocabulary like kérelem, díjmentes, and díjköteles, annak ellenére, hogy matches that official tone well.

Yes, the clauses could be reversed.

Original:

• Annak ellenére, hogy a kérelem díjmentes, a terület díjköteles.

Reversed:

• A terület díjköteles, annak ellenére, hogy a kérelem díjmentes.

Both are grammatical.

The original version foregrounds the contrast:

• first it tells you something that may create an expectation (the application is free),
• then it gives the surprising or contrasting fact (the area is not free).

This is a very natural information flow in both Hungarian and English.

Yes, definitely.

Several words make it sound formal or administrative:

• kérelem
• díjmentes
• díjköteles
• annak ellenére, hogy

This is the kind of sentence you might see in:

• official notices
• regulations
• website information pages
• legal or administrative texts

In everyday speech, people might use simpler wording, depending on context. But in official Hungarian, this sentence sounds completely natural.