I'd go for unconditional election. God is fair and gives everyone a chance.

This means they do not believe Christ death is effectual so they do not believe in Christ, they believe in their decision.
God swore an oath that Eli's house would have no atonement, limited atonement is proved beyond doubt by 1 Sam 3:14.
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1Jo 2:2 And he is the propitiation for our sins: and not for ours only, but also for [the sins of] the whole world.
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onewayout, if the 'whole world' means everyone that ever lived then the scriptures contradict. 1 Sam 3:14 Therefore, I swore to the house of Eli, `The guilt of Eli's house will never be atoned for by sacrifice or offering.' "
john.