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We assume that $V(x)$ is non-zero, nonnegative, and belongs to $B_q$ for some $q \\geq n/2$. Let $T_1=(-\\Delta+V)^{-1}V,\\ T_2=(-\\Delta+V)^{-1/2}V^{1/2}$ and $T_3=(-\\Delta+V)^{-1/2}\\nabla$. We obtain that $[b,T_j] (j=1,2,3)$ are bounded operators on $L^p(\\mathbb{R}^n)$ when $p$ ranges in a interval, where $b \\in \\mathbf{BMO}(\\mathbb{R}^n)$. 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