  In this review we present the current state-of-the-art on complex Langevin
simulations and their implications for the QCD phase diagram. After a short
summary of the complex Langevin method, we present and discuss recent
developments. Here we focus on the explicit computation of boundary terms,
which provide an observable that can be used to check one of the criteria of
correctness explicitly. We also present the method of Dynamic Stabilization and
elaborate on recent results for fully dynamical QCD.
