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Changing the concentration of one solution in the cell will increase the voltage potential of the cell because you are putting the system further out of equilibrium. Because the concentration in only one side of the cell has changed, the concentration gradient across both sides of the cell increases.
I think the conditions are different depending on whether the cell in question is a galvanic cell or a concentration cell. If it's a concentration cell, I think the increased mass might ((key word: MIGHT) change how much of the electrode is being dissolved into the solution, but otherwise it shouldn't matter at all.
The wording is key. if the concentration of one of the electrode solutions is increased, then the concentrations between the two cells are more different (i.e. further away from equilibrium). However, increasing the mass of the electrode does not necessarily increase the concentration, in fact, increasing the mass of either electrode has no effect on the overall cell potential, while increasing or decreasing concentration does change the cell potential.
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