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