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