Срок аренды указан в договоре хранения.

Because Russian often uses the pattern срок + genitive noun to mean the term/period of something.

So:

• срок аренды = the rental term / term of the lease
• срок действия = period of validity
• срок хранения = storage period

In English, we often use of or a noun modifier, but in Russian this relationship is commonly shown by the genitive case.

Срок is in the nominative singular because it is the subject of the sentence.

The structure is:

• Срок аренды = the subject
• указан = the predicate
• в договоре хранения = a prepositional phrase telling you where it is specified

A good way to test this is to ask: What is specified?
Answer: Срок аренды.

Because указан agrees with срок, which is:

• masculine
• singular

So the short passive participle must also be masculine singular:

• срок указан
• if it were условие (neuter), it would be указано
• if it were дата (feminine), it would be указана
• if it were plural, it would be указаны

This is standard agreement in Russian.

Указан is a short passive participle from the verb указать.

In this sentence, it means something like:

• is specified
• is stated
• is indicated

Short passive participles are very common in formal and written Russian, especially in legal, administrative, and official language.

Compare:

• Срок аренды указан в договоре. = The lease term is specified in the contract.
• В договоре указали срок аренды. = They specified the lease term in the contract.

The first version sounds more formal and impersonal.

Because the preposition в takes the prepositional case when it means in or inside in a static sense.

So:

• договор → в договоре
• документ → в документе
• текст → в тексте

Here, в договоре хранения means in the storage contract.

This is not motion into something; it is location within a document, so the prepositional case is used.

Because хранения depends on договор and answers the question of what type? / of what?

This is a very common Russian noun-noun pattern:

• договор аренды = lease contract
• договор купли-продажи = sales contract
• договор хранения = storage contract

The second noun is usually in the genitive case.

So:

• договор = contract
• хранения = of storage

Together: договор хранения = storage contract

When the whole phrase goes after в, only the head noun changes:

• договор хранения
• в договоре хранения

Yes. Russian word order is flexible.

This sentence is neutral and formal:

• Срок аренды указан в договоре хранения.

You could also say:

• В договоре хранения указан срок аренды.

This version puts more focus on where the information is found.

Both are grammatical. The difference is mainly one of emphasis and information flow, not basic meaning.

Grammatically, yes. But semantically, it may sound a little unusual.

Why? Because:

• аренда = lease/rental
• хранение = storage/safekeeping

In legal or business Russian, those are usually different types of agreements. So many speakers would more naturally expect:

• Срок аренды указан в договоре аренды.
• Срок хранения указан в договоре хранения.

So your sentence is correct in grammar, but depending on the context, it may feel slightly odd in content unless there is a special reason the rental term is mentioned in a storage contract.

They are related but not the same.

• указан = is specified / has been specified
  This focuses on the result: the information is there.
• указывается = is being specified / is specified
  This is a present-tense verb form and can sound more like a general rule or process.

Compare:

• Срок аренды указан в договоре.
  = The term is specified in the contract.
  (We are looking at the completed state.)

• Срок аренды указывается в договоре.
  = The term is specified in the contract.
  (This can sound like a rule: that is where one specifies it.)

In legal and formal writing, both are possible, but указан often sounds more like a factual statement about a particular contract.

In the present tense, Russian usually does not use a separate word for is/are like English does.

So:

• Срок аренды указан...
  literally looks like Lease term specified... but naturally means
  The lease term is specified...

This is completely normal in Russian. The meaning of is is understood from the sentence structure.

Not in this sentence.

Срок can mean different things depending on context:

• term / period / duration
• sometimes deadline / due date

Here, with аренды, it means the duration or term of the lease, not a deadline.

So:

• срок аренды = lease term / rental period not
• rental deadline

Context is what tells you which meaning is intended.

Because Russian often prefers noun + genitive noun constructions where English may use either a noun modifier or an adjective.

For example:

• срок аренды = rental term
• договор хранения = storage contract
• центр города = city center
• начало года = beginning of the year

This is one of the most common patterns in Russian, especially in formal language.

Yes, it is a standard legal/business expression.

It refers to a contract for storage, safekeeping, or a similar arrangement. In Russian legal style, this kind of expression is very common:

• договор аренды
• договор подряда
• договор страхования
• договор хранения

So even if a learner first wants to translate word-by-word, it is better to learn договор хранения as a normal set phrase.