For the given reaction
"3Mg_{(s)}+Al_2(SO_4)_{3(aq)} \\rightarrow 2Al_{(s)}+3MgSO_{4(aq)}"
a balanced net ionic equation is
"3Mg_{(s)}+2Al^{3+}_{(aq)} \\rightarrow 2Al_{(s)}+3Mg^{2+}_{(aq)}"
During the reaction
Mg(s) is oxidized and it is the reducing agent,
Al2(SO4)3(aq) is reduced and it is the oxidizing agent.
The balanced half reactions for the oxidation and reduction are following:
"3Mg_{(s)} \\rightarrow 3Mg^{2+}_{(aq)}+6e^-" (oxidation half-reaction)
"2Al^{3+}_{(aq)}+6e^- \\rightarrow 2Al_{(s)}" (reduction half-reaction)
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