Learn Russian: Это же абсолютно логично, ведь мы экономим деньги. - This is absolutely logical, after all we are saving money.

In this sentence, же emphasizes the word it directly follows (Это). It signals that the speaker thinks the statement is obvious or wants the listener to agree. Without it, you just have a neutral statement: "This is absolutely logical." With же, it feels more persuasive, like "But this is obviously logical!" or "Come on, this makes perfect sense."

Could I just use потому что instead of ведь here?

Grammatically yes, but the feeling would change. Потому что (because) simply introduces new information as a reason. Ведь is a particle that translates closer to "after all" or "as you know." By saying ведь мы экономим деньги, the speaker reminds the listener of a shared, agreed-upon fact to justify why their action is so logical.

Why is the word логично used instead of a full adjective like логичный?

Because the sentence starts with Это acting as a standalone pronoun referring to a general idea or situation ("This [entire situation] is..."). When describing a general concept with Это, Russian uses the neuter short-form adjective, which is identical to the adverb. You would only use the full adjective логичный if it were modifying a specific masculine noun, like логичный выбор (a logical choice).

What case is деньги in here?