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Magnesium acts as an oxidant when added to the aluminum ions, and consquently it will oxidize the aluminum and take it out of the solution forming aluminum solid and then the mangesium itself will go into the solution since it will be oxidezed by the aluminum.

The equation would be:

Mg (s) + Al³⁺ (aq) → Mg²⁺ (aq) + Al (s)

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