In the first reaction, $AgNO_3 + NaI \rightarrow AgI + NaNO_3$, the oxidation states of Ag, N, O, Na, and I do not change. Therefore, it is not a redox reaction.
In the second reaction, $LiClO_3 + AgNO_3 \rightarrow AgClO_3 + LiNO_3$, the oxidation states of Li,
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