Find the value of the integral $$\int_2^{\infty} \frac{dx}{3 x (\ln(6 x))^2}.$$

Determine whether the series
$$\sum_{n=2}^\infty \frac{1}{3 n (\ln(6 n))^2}$$
is convergent. Enter C if the series is convergent, D if the series is divergent.