A non-bonding orbital is an orbital that neither increases nor decreases the bond order between the relevant atoms. They are "bonding neutral", rather than "pro-bonding" or anti-bonding. More informally, the electrons in that orbital aren't sufficiently "between" the atoms to "glue" them together effectively. They also aren't so far out on the fringes that they destabilize the molecule either (by letting the positively charged nuclei "see each other" and repel). Think of the lone pairs in Lewis structures as an analogy.
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