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Simplifying 2ln(x + 3) + -3ln(x + 2) + ln(x + 1) = 0 Reorder the terms: 2ln(3 + x) + -3ln(x + 2) + ln(x + 1) = 0 (3 * 2ln + x * 2ln) + -3ln(x + 2) + ln(x + 1) = 0 (6ln + 2lnx) + -3ln(x + 2) + ln(x + 1) = 0 Reorder the terms: 6ln + 2lnx + -3ln(2 + x) + ln(x + 1) = 0 6ln + 2lnx + (2 * -3ln + x * -3ln) + ln(x + 1) = 0 6ln + 2lnx + (-6ln + -3lnx) + ln(x + 1) = 0 Reorder the terms: 6ln + 2lnx + -6ln + -3lnx + ln(1 + x) = 0 6ln + 2lnx + -6ln + -3lnx + (1 * ln + x * ln) = 0 6ln + 2lnx + -6ln + -3lnx + (1ln + lnx) = 0 Reorder the terms: 6ln + -6ln + 1ln + 2lnx + -3lnx + lnx = 0 Combine like terms: 6ln + -6ln = 0 0 + 1ln + 2lnx + -3lnx + lnx = 0 1ln + 2lnx + -3lnx + lnx = 0 Combine like terms: 2lnx + -3lnx = -1lnx 1ln + -1lnx + lnx = 0 Combine like terms: -1lnx + lnx = 0 1ln + 0 = 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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