A system for processing a gas stream can include an acid gas removal unit comprising a first absorber unit, a compressor, and a second absorber unit. The first absorber unit is configured to receive a feed gas stream containing organic sulfur species and acid gas components, remove at least a portion of the organic sulfur species and acid gas components using a semi-rich solvent at a first pressure, produce a semi-treated gas stream, and produce a rich solvent stream. The compressor unit is configured to compress the semi-treated gas stream from the first pressure to a higher second pressure. The second absorber unit is configured to receive the compressed semi-treated gas stream, remove at least a portion of any organic sulfur species and acid gas components present in the compressed semi-treated gas stream using a lean solvent, produce the semi-rich solvent stream, and produce a treated gas stream.