At 1500 K, $\Delta G^{\circ }$ per mole of $\mathrm{O}{}_2$ for oxide formation is (kJ): $\mathrm{MgO}$ $-880$; $\mathrm{Al}{}_2\mathrm{O}{}_3$ $-840$; $\mathrm{Cr}{}_2\mathrm{O}{}_3$ $-540$; $\mathrm{FeO}$ $-380$; $\mathrm{ZnO}$ $-320$. For $2\mathrm{C}+\mathrm{O}{}_2\to 2\mathrm{CO}$, $\Delta G^{\circ }=-221-0.179T$ kJ. Which statements are correct at 1500 K?

1. AMagnesium can reduce $\mathrm{Al}{}_2\mathrm{O}{}_3$
2. BCarbon can reduce $\mathrm{ZnO}$
3. CCarbon can reduce $\mathrm{Cr}{}_2\mathrm{O}{}_3$
4. DAluminium can reduce $\mathrm{Cr}{}_2\mathrm{O}{}_3$