2022 ONE(d)

A curve is defined parametrically by the equations:

$x=2+3t$ and $y=3t-\ln (3t-1)$ where $t>\frac{1}{3}$.

Find the coordinates, $(x,y)$, of any point(s) on the curve where the tangent to the curve has a gradient
of $\frac{1}{2}$.

*You must use calculus and show any derivatives that you need to find when solving this problem.*