If \( \frac{(2 x+1) !}{(x+2) !} \cdot \frac{(x-1) !}{(2 x-1) !}=\frac{3}{5}, x \in \mathrm{N} \)...
If \( \frac{(2 x+1) !}{(x+2) !} \cdot \frac{(x-1) !}{(2 x-1) !}=\frac{3}{5}, x \in \mathrm{N} \); find \( x \).
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