God does not have to save anyone who has fallen in Sin, though He justly does save some.

"Lastly, if it was not incompatible with God's infinite goodness to pass by the whole body of fallen angels and leave them under the guilt of their apostasy, much less can it clash with that attribute to pass by some of fallen mankind and resolve to leave them in their sins and punish them for them. Nor is it inconsistent with Divine justice to withhold saving grace from some, seeing the grace of God is not what He owes to any. It is a free gift to those that have it, and it is not due to those that are without it; consequently there can be no injustice in not giving what God is not bound to bestow. There is no end of caviling at the Divine dispensations if men are disposed to do it. We might, with equality of reason, when our hand is in, presume to charge the Deity with partiality for not making all His creatures angels because it was in His power to do so, as charge Him with injustice for not electing all mankind. Besides, how can it possibly be subversive of His justice to condemn, and resolve to condemn, the non-elect for their sins when those very sins were not atoned for by Christ as the sins of the elect were? His justice in this case is so far from hindering the condemnation of the reprobate that it renders it necessary and indispensable. Again, is the decree of sovereign preterition and of just condemnation for sin repugnant to the Divine holiness? Not in the least, so far from it, that it does not appear how the Deity could be holy if He did not hate sin and punish it. Neither is it contrary to His truth and veracity. Quite the reverse. For would not the Divine veracity fall to the ground if the finally wicked were not condemned?" - Jerome Zanchius, Absolute Predestination