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Answer: No, a divorce would not require your daughter to stay in CA. Visitation would have to be worked out, including who would pay the travel expenses for the 13 year old, and where he would live.
From what you say, it's unlikely that the 13 year old would live with the father, but I don't have a crystal ball and can't tell you the outcome for sure.
If the parents can sit down and work out the details, they can save a fortune in attorney fees and costs.
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I wish you the best.
Jane Doe Deer