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On Monday's show, co-host Julie Chen addressed Sharon's absence and asked fans to send love to the Osbourne family.
"I honestly cannot thank people enough for their backing me," Sharon said Tuesday. "For saying they love me. For everybody here at my home, supporting me, sending me messages of love. I honestly am empowered and I have found this inner strength and I’m like, 'Right, OK, what’s next?'"
Though Sharon confirmed marital issues, she said she’s not sure what’s next in their marriage and did not explicitly confirm the two would be divorcing.
"I honestly don't know," she said. "At this point, I cannot answer that because I don't know what I want. I honestly at this point today have no idea what I’m going to be doing with the rest of my life. I don't know where I'm going (or) who I'm going with and I just need time to think. And really think about myself, about what do I really want. Because I'm 63 years of age and I can't keep living like this."
Sharon also confirmed reports that Ozzy had left the couple's shared home in Beverly Hills.
"It's true," she said. "(But now) he's back, and I'm out of the house."
Ozzy was seen wearing his wedding band Monday while walking his dog near Los Angeles.
"I love Ozzy dearly, you know," Sharon said. "He's given me an unbelievable life. He's given me three gorgeous children. I love him."