  We derive the formula for the stationary states of particle-number conserving
exclusion processes infinitesimally perturbed by inhomogeneous adsorption and
desorption. The formula not only proves but also generalises the conjecture
proposed in arXiv:1711.06949 to account for inhomogeneous adsorption and
desorption. As an application of the formula, we draw part of the phase
diagrams of the open asymmetric simple exclusion process with and without
Langmuir kinetics, correctly reproducing known results.
