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That is because the product will be gaining an increase in concentration as the reaction goes on because the anode will begin to consume the electrode and produce the Concentration ion while the cathode will be gaining mass to the electrode and consuming the Concentration ion. So in order for the reaction to proceed forward, the Concentration will go from high to low (reactants to products, it is favorable) and that must mean the Cathode, which consumes the Concentration ion, has the higher molarity.
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