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Christie Brinkley and ex-husband resolve latest legal battle

Christie Brinkley attends "Priscilla Queen of the Desert The Musical" at the Palace Theatre on March 20, 2011, in New York. Getty

(CBS/AP) RIVERHEAD, N.Y. - Supermodel Christie Brinkley and her ex-husband Peter Cook have reached a cease fire.

According to the New York Post, the former couple resolved their latest New York legal skirmish without an ugly showdown.

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Brinkley and Cook had been fighting over nasty email correspondence and expenses related to the care of their two children. They were due for a court appearance on Long Island on Tuesday.

Brinkley posted a statement on her Facebook page on Monday confirming a deal had been reached. Cook tells the Post he feels great about the settlement.

The Hamptons couple divorced after a sensational high-profile trial in 2008 after he was caught having an affair with a teenager who worked at his architecture firm.

The terms of the settlement include a provision that a parental coordinator be appointed to help mediate issues regarding the care of their children.

Earlier this year, Brinkley publicly discussed her battle with Cook on morning TV.

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