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$\frac {x^2}{2 \times 3} + \frac {2x^3}{3 \times 4} + \frac {3x^4}{4 \times 5} + \ldots$

For $|x| < 1$, the series above converge to $\left (p - \frac q x \right) \ln (1 - x) - q$.

Find the value of $p^4 + q^4$.

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