A bérleti díj az e-mailben van.

It is a fixed expression meaning rental fee or, depending on context, simply rent.

• díj = fee, charge
• bérleti = rental, lease-related

So bérleti díj functions as one noun phrase.

The ending -i often makes an adjective in Hungarian, with a meaning like related to or connected with.

So here:

• bérlet or a related rental/lease base idea
• bérleti = rental / lease-related

That is why bérleti díj literally means something like rental fee.

They are the same definite article, just in two forms.

• a is used before a consonant sound
• az is used before a vowel sound

So:

• a bérleti díj
• az e-mailben

This is similar to how English changes a to an, except Hungarian does it with the definite article.

-ban / -ben is a case ending meaning in.

So:

• e-mailben = in the email

Hungarian often uses endings like this instead of separate prepositions.

Because of vowel harmony.

Hungarian suffixes often come in front-vowel and back-vowel versions:

• -ban
• -ben

Words with front vowels usually take -ben, and e-mail is treated that way here, so the correct form is e-mailben.

That is a very common question.

In Hungarian, the verb van = is is often omitted in the present tense, third person, but not always.

For example, with a noun or adjective predicate, it is usually omitted:

• A díj magas. = The fee is high.

But with a location or place expression, van is normally required:

• A díj az e-mailben van. = The fee is in the email.

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

Hungarian word order is more flexible than English word order. It is shaped a lot by topic and emphasis, not just by subject-verb-object order.

A bérleti díj az e-mailben van is a natural order when the rental fee is the topic and in the email is the important information being given about it.

A different order is also possible, for example:

• Az e-mailben van a bérleti díj.

That version puts more attention on where it is.

Because az e-mailben refers to a specific email: in the email.

Without the article, e-mailben can sometimes sound more general, like:

• by email
• in an email
• via email

So in this sentence, the article helps make it clear that the speaker means a particular email.

Because this borrowed word is often written in Hungarian as e-mail, and when a suffix is added, it attaches after the hyphen:

• e-mail
• e-mailben
• e-mailt

You may also see email in modern usage, but e-mail is still very common and standard in many contexts.

A rough pronunciation guide is:

• A = short aw
• bérleti ≈ BAYR-leh-tee
• díj ≈ deey
• az ≈ awz
• e-mailben ≈ AY-mail-ben
• van ≈ vawn

A few useful pronunciation notes:

• Hungarian stress is usually on the first syllable of each word.
• é and í are long vowels.
• díj is one syllable.

So the stress pattern is roughly:

A BÉRleti DÍJ az É-mailben van