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