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根據題意,當2m+1=-1,解得m=-1,而m+2=-1+2=1,不合題意舍去,當m+2=-1,解得m=-3,且2m+1=-5<-1,所以m=-3時,不等式組x>2m+1x>m+2的解是x>-1.故選B.
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