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Oprah Winfrey says she still has faith in her troubled cable network.

Appearing Monday on "CBS This Morning," Winfrey told the show's co-host -- and her best friend -- Gayle King that she believes the Oprah Winfrey Network will fulfill its mission of transforming viewers' lives.

But if viewers don't respond, Winfrey says: "I will move on to the next thing."

OWN has struggled to build an audience since its launch in January 2011.

Says Winfrey: "I'll always be OK."

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Meanwhile, her longtime boyfriend, Stedman Graham, was on NBC's "Today" show promoting his new book, "Identity: Your Passport to Success."

Noting the couple's clashing TV appearances, host Matt Lauer asked Graham if they share a competitive streak. He replied that he only wants the best for her.