The numerator $x^{2}+9 x+20$ can be factored as $(x+5)(x+4)$, the denominator $9 x+36$ can be factored as $9(x+4)$, and the numerator $9 x+45$ can be factored as $9(x+5)$.
So, the given expressions can be rewritten as:
$\frac{(x+5)(x+4)}{9(x+4)} \cdot
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