Salvation is accomplished by the almighty power of the Triune God. The Father chose a people, the Son died for them, the Holy Spirit makes Christ's death effective by bringing the elect to faith and repentance, thereby causing them to willingly obey the gospel. The entire process (election, redemption, regeneration) is the work of God and is by grace alone. Thus God, not man, determines who will be the recipients of the gift of salvation.
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