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Simplification of the rational expression $\frac{2x}{x^2-4} - \frac{1}{x^2-3x+2} + \frac{x+1}{x^2+x-2}$.

$Step-by-step algebraic simplification of a rational expression involving factoring and combining fractions.$

Step-by-step algebraic simplification of a rational expression involving factoring and combining fractions.

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