SR, Solomon's lack of (recorded) repentance doesn't mean he died a reprobate because no man ever repents of all sin as properly as he ought (otherwise he would attain moments of sinless perfection) and besides, Paul said many were sickly and weak and "asleep" (dead) for partaking of the Lord's Table unworthily, that is, they may have passed away without repenting of that sin. To this we might also add God's affirmation of love for Solomon, and also Solomon's love for God (1 Kings 3:3); true repentance is surely a heart of love - albeit frequently very imperfect and virtually indiscernible love - for God, rather than an abandonment of certain sins, as even the unrepentant Ahab "went softly" when he started to feel the rod of God on his back.
