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Under mild assumptions on the nonlinearity $f$, we show that bounded positive solutions are increasing in $x_1$. For the special case $f(u)=u^q$, we deduce nonexistence of positive bounded solutions in the case where $q \\ge 1$ and $q<\\frac{N-1+2s}{N-1-2s}$ if $N \\ge 1+2s$. 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