One of the points of intersection of the curves y = 1 + 3x - 2x² and \(y = \frac{1}{x}\) is \(\left(\frac{1}{2}, 2 \right).\) Let the area of the region enclosed by these curves be \(\frac{1}{24}(ℓ \sqrt{5}+m) - n\log_e (1+\sqrt{5})\), where ℓ, m, n, ∈ N. Then ℓ + m + n is equal to