Find the points of intersection of the circle \( 3 x^{2}+3 y^{2}-29 x-19 y+56=0 \) and the line ...

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Find the points of intersection of the circle \( 3 x^{2}+3 y^{2}-29 x-19 y+56=0 \) and the line \( y=x+2 \). Also find the length of the chord intercepted.
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