Although the couple are said to have been dating for the past few months, they have only recently started going public with their relationship.

While in Jacksonville, Joe and Ashley were spotted by onlookers shopping at an outdoor mall and grabbing lunch at California Pizza Kitchen. The couple were also caught doing some serious PDA at the local Ritz Bar!

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Rumors quickly surfaced that Joe had asked Ashley's parents for her hand in marriage. However, reps for Ashley Greene denied the report calling it "completely false."

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How serious do you think Ashley and Joe are getting?!