If the domain of the function ${\sin }^{-1}\left(\frac{3x-22}{2x-19}\right)+{\log }_{e}\left(\frac{3{x}^{2}-8x+5}{{x}^{2}-3x-10}\right)$ is $(\alpha ,\beta ]$, then $3\alpha +10\beta$ is equal to:

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If the domain of the function \({\sin }^{-1}\left(\frac{3x-22}{2x-19}\right)+{\log }_{e}\left(\frac{3{x}^{2}-8x+5}{{x}^{…

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