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