If the plane containing the line $\frac{x-3}{2}=\frac{y+2}{-1}=\frac{z-1}{3}$ and also containing its projection on the plane $2x+3y-z=5$ contains which one of the following points? (a) $\left(2,2,0\right)$ (b) $\left(2,0,-2\right)$ (c) $\left(0,-2,2\right)$ (d) $\left(-2,2,2\right)$

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