Ателье может удлинить пальто.

In this sentence, ателье usually means a tailor’s shop, alterations shop, or atelier—a place where clothes are made or altered.

So here it refers to a business that can do clothing work, such as making a coat longer.

Ателье is an indeclinable noun in Russian. That means it keeps the same form in all cases.

Examples:

• Это ателье
• В ателье
• Из ателье

Many borrowed words in Russian behave this way, especially words ending in -е, -о, -и, or -у.

Ателье is usually treated as neuter singular.

That is why the verb is может, the 3rd person singular form of мочь (to be able to / can).

So the structure is:

• ателье = singular subject
• может = can
• удлинить = infinitive

After мочь (can / be able to), Russian normally uses the infinitive of the main verb.

So:

• может удлинить = can lengthen

This is very similar to English:

• can lengthen
• can repair
• can shorten

Удлинить is the perfective infinitive, while удлинять is the imperfective infinitive.

Here, удлинить suggests a completed result: making the coat longer as a finished alteration.

So the sentence means the shop is able to successfully do that job.

Compare:

• может удлинить пальто = can lengthen the coat, can get it done
• может удлинять пальто = can be lengthening coats / is capable of doing that kind of work in general

In everyday Russian, with a specific repair or alteration, удлинить is very natural.

Пальто is another indeclinable noun, so its form does not change.

Also, it is inanimate, and in Russian the accusative of many inanimate nouns is the same as the nominative.

So:

• пальто as subject: Пальто дорогое
• пальто as object: удлинить пальто

Same form, different role.

No. Russian does not have articles like a, an, or the.

Whether you understand it as a coat or the coat, an atelier or the atelier, depends on context.

So Ателье может удлинить пальто can be understood naturally without any word corresponding to the.

Here, может most naturally means can or is able to.

So the idea is about ability / possibility, not permission.

In context, it means the shop has the ability or service to make the coat longer.

Yes. Russian word order is more flexible than English.

The neutral order here is:

• Ателье может удлинить пальто.

But other orders are possible for emphasis, for example:

• Пальто ателье может удлинить.
• Удлинить пальто ателье может.

These alternatives may sound more marked or emphatic. The original sentence is the most neutral and natural for a basic statement.

A practical pronunciation guide is:

Ателье может удлинить пальто
atel-YE MO-zhet u-dli-NIT' pal-TO

A few notes:

• ателье has stress on the last syllable: ательЕ
• может has stress on the first syllable: мОжет
• удлинить has stress on the last syllable: удлинИть
• пальто has stress on the last syllable: пальтО

Yes. Удлинить literally means to make longer.

With clothing, it usually means to lengthen it through tailoring or alteration. In natural English, lengthen the coat is a good translation, but make the coat longer expresses the same basic idea.

Yes, it sounds natural, especially in the context of clothing repair or alterations.

You might see similar phrases such as:

• Ателье может укоротить брюки. — The tailor’s shop can shorten the trousers.
• Ателье может ушить платье. — The tailor’s shop can take in the dress.
• Ателье может отремонтировать куртку. — The tailor’s shop can repair the jacket.

So the sentence is a very typical service-related statement.