في كتب بالكرتونة.

Yes, it is the same form: في pronounced fii. But in Levantine, it can have two jobs:

• as a preposition: in
• as an existential particle: there is / there are

Here, the first في means there are.

After existential في, Arabic usually introduces something as new or unspecified, so an indefinite noun is very common.
So:

• في كتب = there are books
• في الكتب would sound more like there are the books, which is much less natural unless the context is very specific.

In Levantine, كتب meaning books is often pronounced something like ktob or kotob, depending on the region and speaking style. In more formal pronunciation, you may hear kutub.

So the spelling stays the same, but the everyday pronunciation can shift.

بالكرتونة is made of:

• بـ = in / at / with
• ال = the
• كرتونة = carton, cardboard box, box

So بالكرتونة means in the box / in the carton.

In Levantine, بـ is very often used for location where English would use in, at, or sometimes inside. So بالكرتونة is very natural for in the box.

A learner may expect في الكرتونة, and that can be understandable, but بالكرتونة sounds very normal in spoken Levantine.

كرتونة usually means a carton or cardboard box. In everyday speech, people may use it for a packaging box more generally.

It is a colloquial word, and it feels more spoken and everyday than a formal word like صندوق.

The ending ـة usually marks a feminine noun. So كرتونة is grammatically feminine.

That matters when you describe it. For example, you would say:

• الكرتونة كبيرة = the box is big

because كبيرة is the feminine form.

Yes. في كتب بالكرتونة is a normal neutral order: first you introduce existence, then the thing, then the location.

You could also say:

• بالكرتونة في كتب

That puts more emphasis on the location, like In the box, there are books.

It usually just means that books are present, with an indefinite sense. In English, that could be translated as either:

• there are books
• there are some books

Arabic does not need a separate word for some here unless the speaker wants extra emphasis or a more specific meaning.