1 Kings 4:4 - Matthew Poole's English Annotations on the Holy Bible

i.e. The high priests, to wit, successively, first Abiathar, and then Zadok. Quest. Why is Abiathar named when he was deposed? Answ. First, Because it is ordinary for persons to retain the names and titles of those places which in reality they have lost. Secondly, Because though he was deposed from the high priesthood, yet he was a priest, and the chief of one of the priestly families: and as Zadok was jointly named with Abiathar, when Abiathar alone was the high priest, as 2 Samuel 8:17, 2 Samuel 20:25; so now Zadok and Abiathar are joined, although the high priesthood was rested in Zadok alone. Thirdly, Possibly Abiathar, though he was deposed from the supreme priesthood, yet upon his serious repentance, and by the intercession of his friends, was restored to the execution of the priestly office, and put into that place which Zadok enjoyed when Abiathar was high priest. Fourthly, Some say that here is mention made of all Solomon's chief officers, both such as now were, and such as had been, and such as were afterwards, as they gather from 1 Kings 4:11,15, where two persons are named who married two of Solomon's daughters, which could not be till many years after this time.