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I believe so because one of the Cls are involved in the HClO reaction, which increases the oxidation number from 0 to +1, and the other Cl is involved in the Cl- reaction, which decreases the oxidation number from 0 to -1.
Yes in this case Cl2 would be both the oxidizing and reducing agent. One half reaction involves the reduction of Cl to Cl- and the other half reaction involves the oxidation of Cl2 to HClO.
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