Larry King and his wife, Shawn King, aren't letting recent reports about their marriage of 19 years affect them.

Larry, 82, was recently "blindsided" by Shawn having an alleged year-long affair with another man, according to Page Six, and is reportedly "heartbroken, embarrassed, and furious." But during an appearance on Hallmark Channel's Home & Family, airing Friday, Larry said he doesn't pay attention to rumors.

"I've been in the business next May for 60 years, and I've dealt with rumors for a long time," Larry says when asked by host Mark Steines about the latest scandalous reports. "I've dealt with people involved with rumors, and rumors are what they are -- they're rumors -- and to tell you the truth, I don't pay any attention to them."

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Shawn adds that the two are banding together like always.

"This week I'm the latest pin-up girl," Shawn, 56, comments. "You have to just develop a shell around yourself, and not get hard on the inside, and stick together."

When co-host Debbie Matenopoulos notes that that's a "hard thing" to do in Hollywood, Shawn explains, "Yeah, but we've been at it for a while."

Larry and Shawn -- the TV and radio host's seventh wife -- married in 1997. The two both filed for divorce in April 2010, but never went through with it. They have two children together, 17-year-old Chance and 16-year-old Cannon.

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This isn't the first time rumors have swirled surrounding alleged infidelity between the two. ET sat down with baseball coach Hector Penate in April 2010, who claimed to have had an affair with Shawn. Shawn has denied the affair.

"I've been in love very few times in my life, and she was one of them," Penate told ET. "She joked that we should go to Vegas and get married quickly, you know? We talked about kids, so, we talked about that all the time."

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