If I never signed a lease, can I get my security deposit back?

Question Details: I applied for an apartment and on the application it said, "Once your application is accepted, a security deposit must be paid within 48 hours. This deposit will be applied towards your amount due at move in and is not refundable." We are not moving there and they will not give our "security deposit" back. Do I have any rights to get my money back?

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