Matos issued a statement Wednesday saying she needs to bring the case to an end for the good of their 6-year-old daughter, Jacqueline.
McGreevey also issued a statement through his lawyer saying the claim had finally been withdrawn. He described the claim as a failed attempt to secure more money in the divorce settlement.
Matos had filed a civil claim contending that her gay ex-husband duped her into marriage to advance his political career.
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