I have a question about the interpretation of lower order interaction terms in the presence of a significant higher order interaction effect.
Suppose I have a 2 (factor $A$) $\times$ 2 (factor $B$) $\times$ 2 (factor $C$) design where the highest order interaction ($A\times B\times C$) is significant and a lower order interaction term ($A\times B$) is also significant. Does the significant $A\times B\times C$ interaction render the $A\times B$ interaction uninterpretable (much like how main effects are rendered uninterpretable in the presence of a significant interaction)?
Under this kind of circumstance, should I run a set of post-hoc/planned comparisons to check how different conditions are different?