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Redox reaction is the combine reaction of oxidation and reduction.
overall electrolysis reaction for PbBr2 is 
PbBr2   --------------------->  Pb + Br2
at cathode:
Pb2+  + 2e  -------------------------> Pb       (reduction)  --------------------(1)
at anode:
2Br-   ------------------------------->  Br2 + 2e      (oxidation)  ----------------------------(2)
on adding both (1) & (2) we get
PbBr2  --------------------> Pb  + Br2
so electrolysis of PbBr2 is considered a redox reaction.
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