MathBox: Grand Finale

Enter the expression

2sin⁡2 ⁣x(x+23)log⁡4 ⁣a+bc+d\frac{2^{\sin^2! x}\left(x+\frac{2}{3}\right)}{\log_4! \frac{a+b}{c+d}}log4​c+da+b​2sin2x(x+32​)​.

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