'Separated' in the Bible

remember that at that time you were separated from Christ [excluded from any relationship with Him], alienated from the commonwealth of Israel, and strangers to the covenants of promise [with no share in the sacred Messianic promise and without knowledge of God’s agreements], having no hope [in His promise] and [living] in the world without God.

They are darkened in their understanding and separated from the life of God because of their ignorance and hardness of heart.