strong hard X-ray spectral variability in these objects [@soldi2014]. The exception is the 2011 [[*XMM–Newton*]{}]{} observation of [NGC 4388]{}, which has a flatter and less obscured spectrum (see Appendix \[appendix\]). On the other hand, the cross-normalisation constants indicate a significant flux variability in the [[*XMM–Newton*]{}]{} and [[*NuSTAR*]{}]{} energy bands, up to a factor of approximately eight in [NGC 2110]{}.

Fitting the data with a phenomenological cut-off power law, we obtain photon indices of [$1.60^{+ 0.07}_{- 0.06}$]{} for [NGC 4388]{} and of [$1.65 \pm 0.02$]{} for [NGC 2110]{}, both perfectly consistent with the values previously reported from [[*NuSTAR*]{}]{} data alone [@kamraj2017; @marinucci2015]. As for the cut-off energies, we obtain [$200^{+ 75}_{- 40}$]{} keV for [NGC 4388]{} and [$320^{+ 100}_{- 60}$]{} keV for [NGC 2110]{}; the latter measurement is consistent with the lower limit of $\sim 200$ keV previously reported from [[*Suzaku*]{}]{} and [[*NuSTAR*]{}]{} data [@rivers2014; @marinucci2015]. Both values are also consistent within the errors with those reported by [@ricci2017]. In the case of [NGC 4388]{}, the measurement is consistent with previous [[*INTEGRAL*]{}]{} results [@fedorova2011; @molina2013]. However, the IBIS spectrum analysed here shows a clear and unambiguous high-energy turnover, not related to a putative reflection hump which could affect the results [@molina2013]. 