  In this article we show that if $(X, \Delta)$ is a log canonical compact
K\"ahler threefold pair such that $K_X+\Delta$ is nef and the numerical
dimension $\nu(X, K_X+\Delta)=2$, then $K_X+\Delta$ is semi-ample. This result
combined with our previous work in arXiv:2201.01202 shows that the log
abundance holds for log canonical compact K\"ahler threefold pairs.
