  Based on the Simplified Differential Equations approach, we present results
for the two-loop non-planar hexa-box families of master integrals. We introduce
a new approach to obtain the boundary terms and establish a one-dimensional
integral representation of the master integrals in terms of Generalised
Polylogarithms, when the alphabet contains non-factorisable square roots. The
results are relevant to the study of NNLO QCD corrections for $W,Z$ and
Higgs-boson production in association with two hadronic jets.
