Variety.com said the $13 million, politically incorrect film is about a French nihilist who transports a stolen painting from Paris to London.
Reitman's previous films include "Thank You for Smoking" and the Oscar-nominated "Juno."
Carrey, star of the "Ace Ventura" movies, "Liar Liar" and "Eternal Sunshine of the Spotless Mind," will soon be heard in the animated film "Horton Hears a Who."
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