  Lattice QCD at non-vanishing chemical potential is studied using the complex
Langevin equation (CLE). One of the conditions for the correctness of the
results of the CLE is that the zeroes of the measure coming from the fermionic
determinant are outside of the distribution of the configurations, or at least
in a region where support for the distribution is very much suppressed. We
investigate this issue for Heavy Dense QCD (HDQCD) and full QCD at high
temperatures. In HDQCD it is found that the configurations move closest to the
zeroes of the measure around the critical chemical potential of the onset
transition, where the sign problem is diminished, but results remain largely
unaffected. In full QCD at high temperatures the investigation of the spectrum
of the Dirac operator yields a similar observation: the results are unaffected
by the issue of the poles.
