$$=\frac{2x-1}{x^{2}-2x+1}\times\frac{x^{2}-3x+2}{4x^{2}-1}$$
$\frac{x-2}{\left(x-1\right)\left(2x+1\right)}$
$$\frac{\left(2x-1\right)\left(x^{2}-3x+2\right)}{\left(x^{2}-2x+1\right)\left(4x^{2}-1\right)}$$
$$\frac{\left(x-2\right)\left(x-1\right)\left(2x-1\right)}{\left(2x-1\right)\left(2x+1\right)\left(x-1\right)^{2}}$$
$$\frac{x-2}{\left(x-1\right)\left(2x+1\right)}$$
$$\frac{x-2}{2x^{2}-x-1}$$
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