to pair off
Webster's Dictionary (GCIDE)
1.To be joined in pairs; to couple; to mate, as for breeding. [1913 Webster]
2.To suit; to fit, as a counterpart. [1913 Webster]
My heart was made to fit and pair with thine.— Rowe.[1913 Webster]
3.Same as To pair off. See phrase below. [1913 Webster]
To pair off, to separate from a group in pairs or couples; specif. (Parliamentary Cant), to agree with one of the opposite party or opinion to abstain from voting on specified questions or issues. See Pair, n., 6. [1913 Webster]