A process for treating an effluent gas stream arising from a manufacturing operation that produces an olefin or a non-polymeric olefin derivative. The process involves cooling and condensing the effluent gas stream, which comprises an olefin, a paraffin, and a third gas, to produce a liquid condensate and an uncondensed (residual) gas stream. Both streams are then passed through membrane separation steps. The membrane separation of the uncondensed gas stream results in an olefin-enriched stream and an olefin-depleted stream. The olefin-enriched stream is recirculated within the process prior to the condensation step. The membrane separation of the condensate also results in an olefin-enriched stream, which may be recycled for use within the manufacturing operation, and an olefin-depleted stream, which may be purged from the process.