For a liquid mixture following the two-parameter three-suffix Margules equation, the activity coefficients are represented by [

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For a liquid mixture following the two-parameter three-suffix Margules equation, the activity coefficients are represented by

\[ \ln \gamma_{1}=x_{2}^{2}\left[A+2(B-A) x_{1}\right] \]

and

\[ \ln \gamma_{2}=x_{1}^{2}\left[A+2(A-B) x_{2}\right] \]

Determine the expression for the excess Gibbs free energy of the liquid mixture.

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