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Polycrystalline samples URh$_{1-x}$Ru$_x$Ge ($x \\leq $0.6), URh$_{1-x}$Co$_x$Ge ($x \\leq $0.9) and URhGe$_{1-x}$Si$_x$ ($x \\leq $0.2) have been prepared and the magnetic properties have been investigated by magnetization and transport experiments. In the case of Ru doping, $T_{\\rm C}$ initially increases, but then decreases linearly as a function of $x$ and is completely suppressed for $x_{\\rm cr} \\approx 0.38$. 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