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The two refineries are Sinopec Guangzhou Petrochemical Corp and Sinopec Dongxing refinery, with a combined crude processing capacity of 370,000 barrels per day (bpd).
Sinopec announced the order late on Wednesday after Chinese state television reported the plants, which also includes a small petrochemical plant, had environmental problems.
Sinopec did not specify the problems at the plants or the length of the shutdown.