First, we need to factor the given expressions:
The given expression is:
$$\frac{2x^2 + 3x + 1}{x^2 + 2x - 15} \div \frac{x^2 + 6x + 5}{2x^2 - 7x + 3}$$
Factoring the expressions, we get:
$$\frac{(2x + 1)(x + 1)}{(x + 3)(x - 5)} \div \frac{(x + 1)(x + 5)}{(2x -
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