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The news source reports that Jack, 25, is engaged to aspiring actress Lisa Stelly.
One of Lisa's friends reportedly praised Jack, calling him "a great influence on [Lisa]."
Since starring in the MTV reality show The Osbournes, Jack has done several projects working behind the camera. He produced the documentary God Bless Ozzy Osbourne in 2011 and directed the video for his dad's song Life Won't Wait in 2010.