Neither is good. Say eg We need to redouble our efforts to penetrate the Chinese market. double - multiply by 2 redouble - make greater, intensify Clive
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messier42We need to double the effort on penaterating the China market.We need to double the effort penaterating the China market.What is correct?"double" is possible; maybe the effort will be doubled in terms of money and manpower. But I agree with 'effort(s) to penetrate'.