If two vectors $\overrightarrow a \: and \: \overrightarrow b$ are such that $|\overrightarrow a|=2,|\overrightarrow b|=1\: and \: \overrightarrow a.\overrightarrow b=1$, then find the value of $(3\overrightarrow a-5\overrightarrow b).(2\overrightarrow a+7\overrightarrow b).$

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