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According to the Daily Mail, Paltrow refused to comment and walked away when she was asked about her rock star husband at the Fashion Rocks event last week.
A source commented: "It was like Gwyneth didn't want to talk about him. It was very strange. They haven't been out together for months."
The pair have allegedly had a disagreement about plans to move to the US full-time.
An insider said: "Gwyneth has wanted to return to the States permanently for a long time but Chris has said no."
A spokesperson for the pair commented: "Gwyneth and Chris as a policy do not talk about each other in the media, nor do they attend public functions together.
"They have not been apart all summer as you suggest and she does not want to move to America."
