Yes, both God's initiation and sinners' cooperation/faith result in salvation and should not be divorced.
A passage teaching this truth is
Colossians 2:6-7: “Just as you received Christ Jesus as Lord [
kerygma], continue to live in him, rooted and built up in him, strengthened in the faith as you were taught [
didache].” There is no qualitative difference between faith that accepts God’s saving grace at conversion and faith that accepts God’s working grace while walking/living (
Eph. 2:8-10,
2Cor. 5:7,
Rom. 1:17), but only a quantitative difference as each additional moment passes–and of course faith remains non-meritorious during the saint’s entire lifetime. Saving faith is possible for all morally accountable souls, because God is just (Eph. 6:9, Col. 3:25, 1Pet. 1:17).