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Simplifying ln(x + -2) + ln(x + 3) = 2ln(x) Reorder the terms: ln(-2 + x) + ln(x + 3) = 2ln(x) (-2 * ln + x * ln) + ln(x + 3) = 2ln(x) (-2ln + lnx) + ln(x + 3) = 2ln(x) Reorder the terms: -2ln + lnx + ln(3 + x) = 2ln(x) -2ln + lnx + (3 * ln + x * ln) = 2ln(x) -2ln + lnx + (3ln + lnx) = 2ln(x) Reorder the terms: -2ln + 3ln + lnx + lnx = 2ln(x) Combine like terms: -2ln + 3ln = 1ln 1ln + lnx + lnx = 2ln(x) Combine like terms: lnx + lnx = 2lnx 1ln + 2lnx = 2ln(x) Multiply ln * x 1ln + 2lnx = 2lnx Add '-2lnx' to each side of the equation. 1ln + 2lnx + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 1ln + 0 = 2lnx + -2lnx 1ln = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 1ln = 0 Solving 1ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '1'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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