No, they cannot reopen the case without some just cause. The only reason they would reopen the case after this long would be based on a complaint from your ex spouse. You will have to discover the grounds for reopening the case and if it has been improperly reopened you need to go to court and file in court to terminate support again AND as part of that suit you would seek legal fees and damages for her filing a fraudulent claim to reopen the case and the court will issue the order to child support to cease the collection and will order her to pay damages for filing the false complaint.
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