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The "Liz & Dick" actress - whose father Michael Lohan took a paternity test recently which confirmed that 17-year-old Ashley Horn is his daughter - reportedly said she wants nothing to do her and called the situation a "circus".
The insider said that Lindsay is completely over the "circus" and has no desire to ever meet her half-sister because she thinks her life is less dramatic without her father, who she cut out of her life in October after he recorded and released a private telephone conversation between them to the public in which she was fighting with Dina and accused her of being on drugs.
He said: "I am sorry to hear Lindsay feels that way. I met Ashley and she is a good kid. But we all have our choices to make in life, as well as our own prerogatives. Who knows, maybe someday things will change. Regardless, I want the best for all my kids."
She said: "I didn't even hear that, so thanks for the news. I don't pay attention to any of it. I can't. I don't really want to get into that because I want to stay on the positive side of things."Related Video: Watch Li-Lo in "The Canyons" teaser trailer