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We show using Kahn's and Sujatha's theory of birational motives that a Chow motive over $k$ whose Chow groups are all representable belongs to the full and thick subcategory of motives generated by the twisted motives of curves.\n  --\n  Motifs purs dont les groupes de Chow sont repr\\'esentables.\n  Soit $k$ un corps alg\\'ebriquement clos. 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