They are not mutually exclusive statements, because they don't exist in isolation: they are both potentially true and false depending on the context of discussion.
Either way, this stuck out to me because usually these type of lists have very simple, understandable statements that just happen to surprise some people by not being true; in this case, the statements themselves are confusing, so I can't really say for certain whether I believe them or not because I don't even know what truth they're asserting to try to negate it.
I would classify these statements as koans, and further observe that one of the defining characteristics of these lists is that they are wry. With that in mind the couplet is evidently presented in cheek to illustrate the need for context, since this is the pathway to resolve the overt contradiction without getting stuck in a rigid thinking trap.