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If she's just selling the dependents that's highly illegal.  You can claim the children for 2016 and you will get your refund right away, then it takes a year or more for the IRS to investigate.  Amending prior years will take longer of course.  There may be a more effective way to blow the whistle on her but I don't know if that would end up interfering with your claims.  You might want to consult an enrolled agent -- accountant who specializes in IRS matters.  Good luck.