Cleary's goal was his eighth, and Franzen got No. 19.
Jiri Hudler and Tomas Holmstrom scored earlier for Detroit. Datsyuk and Niklas Kronwall each had two assists for the Red Wings.
The Ducks' Ryan Getzlaf had a goal and two assists in the losing effort. Corey Perry and Steve Montador had the other Anaheim goals.
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