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The aim of this paper is to investigate the $I$-cofiniteness of generalized local cohomology modules $\\displaystyle H^j_I(M,N)=\\dlim\\Ext^j_R(M/I^nM,N)$ of $M$ and $N$ with respect to $I$. We first prove that if $I$ is a principal ideal then $H^j_I(M,N)$ is $I$-cofinite for all $M, N$ and all $j$. 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