A dual-pressure flare system and a method of its use. The dual-pressure flare system includes a dual-pressure flare stack having a central axis that is aligned with the center of a high-pressure outlet; a high-pressure flue having a central axis that is co-linear with the central axis of the dual-pressure flare stack; and a low-pressure flue connected to a low-pressure tip. Some exemplary embodiments of the system further include an air-assist assembly having an air-supply connection connected to an air blower and a mixing chamber, wherein the mixing chamber surrounds the low-pressure tip. In some exemplary embodiments, the air-supply connection is disposed outside the dual-pressure flare stack and the high-pressure flue.
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