Learn Romanian: Femeia vine din magazin. - The woman comes out of the store.

Din specifically means "from inside of" or "out of". If the woman were just coming from the general location of the store, but not necessarily from inside it, you would use the preposition de la instead.

The translation says "out of the store", but magazin doesn't have the Romanian "the" attached to it (magazinul). Why?

This is a very important rule for Romanian prepositions! When a simple noun comes right after a preposition like din, în, la, or pe, it drops the definite article ("the"). You just use the base word: din magazin. You would only add the "the" back if you described the store with an extra word, like din magazinul nou (out of the new store).

Why is the subject Femeia and not just Femeie?

Because we are talking about a specific woman. Femeie means "woman". To say "the woman", Romanian attaches the definite article to the end of the word. For feminine words ending in -e, the article is -a (which replaces the -e), making it femeia.

Is vine a regular verb?

Vine comes from the verb a veni (to come). It is a slightly irregular verb. For "he/she/it" in the present tense, the stem changes slightly to give us vine (he/she comes).