Bought my car brand new, not sure if I have the title?

Sorry if I seem clueless here, i bought my car brand new from a florida honda dealership, I paid in full. I just moved to another state and went to register my car here the day before my registration expired, but realized I didn't have my title. They gave me a temp till the end of the year until I return with my title and smog check certification to finish the registration (already paid for it) It's been a year and a half since I bought my car so my memory is fuzzy but I don't remember ever having it in my possession. While looking for it I did find a paper for an application for title though. Is it possible I haven't had a title this whole time? Can that even happen if the car is registered under my name? Was I supposed to take care of that and never finished it? Help and advice would be appreciated as I'm running out of time to get my registration finished before the temp is no longer valid. Thank you so much.

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