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\begin{array} { l } { \text { If } \frac { 3 + \sqrt { 5 } } { 4 - 2 \sqrt { 5 } } = p + q \sqrt { 5 } , \text { where } p \text { and } q \text { are rational } } \\ { \text { numbers, find the values of } p \text { and } q . } \end{array}

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