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Simplifying 2ln(2x + -3) + -1ln(2x + 1) + -1ln(2x + -1) = 0 Reorder the terms: 2ln(-3 + 2x) + -1ln(2x + 1) + -1ln(2x + -1) = 0 (-3 * 2ln + 2x * 2ln) + -1ln(2x + 1) + -1ln(2x + -1) = 0 (-6ln + 4lnx) + -1ln(2x + 1) + -1ln(2x + -1) = 0 Reorder the terms: -6ln + 4lnx + -1ln(1 + 2x) + -1ln(2x + -1) = 0 -6ln + 4lnx + (1 * -1ln + 2x * -1ln) + -1ln(2x + -1) = 0 -6ln + 4lnx + (-1ln + -2lnx) + -1ln(2x + -1) = 0 Reorder the terms: -6ln + 4lnx + -1ln + -2lnx + -1ln(-1 + 2x) = 0 -6ln + 4lnx + -1ln + -2lnx + (-1 * -1ln + 2x * -1ln) = 0 -6ln + 4lnx + -1ln + -2lnx + (1ln + -2lnx) = 0 Reorder the terms: -6ln + -1ln + 1ln + 4lnx + -2lnx + -2lnx = 0 Combine like terms: -6ln + -1ln = -7ln -7ln + 1ln + 4lnx + -2lnx + -2lnx = 0 Combine like terms: -7ln + 1ln = -6ln -6ln + 4lnx + -2lnx + -2lnx = 0 Combine like terms: 4lnx + -2lnx = 2lnx -6ln + 2lnx + -2lnx = 0 Combine like terms: 2lnx + -2lnx = 0 -6ln + 0 = 0 -6ln = 0 Solving -6ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '-6'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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