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In $I_{m,n} = \int_0^1 x^{m-1}(1 - x)^{n-1},dx$, for $m, n \geq 1$ and $\int_0^1 \dfrac{x^{m-1} + x^{n-1}}{(1 + x)^{m+n}},dx = \alpha I_{m,n}$, $\alpha \in \mathbb{R}$, then $\alpha$ equals ______.
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