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