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Parker, 43, who plays a pot-dealing mom on the Showtime series, and Morgan, 41, who plays her deceased husband (and Denny on Grey's Anatomy), were engaged earlier this year after a two-year on-again, off-again relationship.
Reps for Parker and Morgan declined to comment.
Parker adopted a baby girl last fall. She also has a son with actor Billy Crudup.
The breakoff of the engagement was first reported by the Associated Press.
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