A fizetés és a próbaidő a szerződésben van.

Because a / az is the Hungarian definite article, like the, and Hungarian normally repeats it before each definite noun.

So:

• a fizetés = the salary
• a próbaidő = the probation period
• a szerződésben = in the contract

With és (and), repeating the article is very normal:

• a fizetés és a próbaidő

For a learner, repeating the article before both nouns is the safest pattern.

Hungarian has two forms of the definite article:

• a before a consonant sound
• az before a vowel sound

Here all the following words begin with consonants:

• fizetés
• próbaidő
• szerződésben

So the correct form is a each time.

Examples:

• a ház = the house
• az autó = the car

The ending -ban / -ben means in.

So:

• szerződés = contract
• szerződésben = in the contract

This is a case ending, not a separate word. Hungarian often uses endings where English uses prepositions.

A few more examples:

• házban = in the house
• iskolában = in the school
• dobozban = in the box

Because of vowel harmony.

Hungarian suffixes often change their form depending on the vowels in the word. Very roughly:

• back-vowel words usually take -ban
• front-vowel words usually take -ben

szerződés has front vowels, so it takes -ben:

• szerződésben

Compare:

• házban
• boltban
• szekrényben
• szerződésben

That is a very common question.

Hungarian often omits van in the present tense in sentences like:

• A fizetés jó. = The salary is good.
• Ő tanár. = He is a teacher.

But when you express location or where something is, van is normally needed:

• A könyv az asztalon van. = The book is on the table.
• A fizetés a szerződésben van. = The salary is in the contract.

So in this sentence, van is present because the sentence says where something is found.

Hungarian word order is more flexible than English word order, and it often reflects topic and focus, not just grammar.

In this sentence:

• A fizetés és a próbaidő is the topic: what we are talking about
• a szerződésben van says something about that topic

Putting van at the end is a very natural neutral order in Hungarian.

A different order is also possible, for example:

• A szerződésben van a fizetés és a próbaidő.

That version shifts the emphasis more toward where the information is.

Many learners notice this, and it is a good question.

In careful, straightforward agreement, vannak is often the safer choice with two coordinated items:

• A fizetés és a próbaidő a szerződésben vannak.

However, singular van can also occur when the two items are being treated as a kind of single package or combined piece of information. In practical or list-like statements, this can sound natural to many speakers.

So:

• vannak = safer default for learners with a clearly plural subject
• van = possible when the two items are felt as one grouped set

If you are unsure, using vannak is usually the safer production choice.

Because in Hungarian, the case ending normally attaches to the noun, not to the article.

So you get:

• a szerződésben

not something like aben szerződés

The article stays separate, and the noun carries the ending.

This is a very common Hungarian pattern:

• a házban = in the house
• a könyvben = in the book
• a szerződésben = in the contract

It is a compound noun:

• próba = trial, test
• idő = time, period

Together:

• próbaidő = probation period / trial period

Hungarian makes a lot of compound nouns, and they are very common in formal and workplace language.

Other compounds work the same way, for example:

• munkaidő = work time / working hours
• szabadidő = free time
• ebédidő = lunchtime

A few useful pronunciation points:

• Hungarian stress is usually on the first syllable of the word.
• Accent marks matter: they show vowel quality and often vowel length.

Roughly:

• fizetés → FI-ze-tésh
• próbaidő → PRÓ-ba-i-dő
• szerződésben → SER-ző-désh-ben
• van → like vawn, but shorter and crisper

A few specific vowel notes:

• é is a long vowel, somewhat like the vowel in say, but purer
• ő is a long front rounded vowel, which English does not really have
• ó is long o

If pronunciation is a priority, ő in próbaidő and szerződés is especially worth practicing.

Yes. That is grammatical, but the emphasis changes.

Compare:

• A fizetés és a próbaidő a szerződésben van.
  • starts with the things being discussed
• A szerződésben van a fizetés és a próbaidő.
  • starts with the location, so it highlights where they are

Hungarian often chooses word order based on what is already known and what is being highlighted. So both versions can work, depending on context.