At least some VOCs are removed from a feed gas in an adsorption unit comprising at least three adsorbers following a pressure cycle with a phase shift, wherein the feed gas comprises at least methane, carbon dioxide and volatile organic compounds (VOCs). The VOC depleted gas is fed to at least one membrane separation to produce a carbon dioxide-enriched permeate and a methane-enriched retentate. The flow of the feed gas stream is adjusted based upon one or both of a pressure or methane concentration of the gas stream entering the membrane separation unit and/or a pressure in the adsorption unit.