2 Corinthians 3:16

but whenever a person turns to the Lord, the veil is taken away.

Exodus 34:34

But whenever Moses went in before the Lord to speak with Him, he would take off the veil until he came out; and whenever he came out and spoke to the sons of Israel what he had been commanded,

Isaiah 25:7

And on this mountain He will swallow up the covering which is over all peoples,
Even the veil which is stretched over all nations.

Romans 11:23

And they also, if they do not continue in their unbelief, will be grafted in, for God is able to graft them in again.

Deuteronomy 4:30

When you are in distress and all these things have come upon you, in the latter days you will return to the Lord your God and listen to His voice.

Deuteronomy 30:10

if you obey the Lord your God to keep His commandments and His statutes which are written in this book of the law, if you turn to the Lord your God with all your heart and soul.

Isaiah 29:18

On that day the deaf will hear words of a book,
And out of their gloom and darkness the eyes of the blind will see.

Isaiah 54:13

All your sons will be taught of the Lord;
And the well-being of your sons will be great.

Jeremiah 31:34

They will not teach again, each man his neighbor and each man his brother, saying, ‘Know the Lord,’ for they will all know Me, from the least of them to the greatest of them,” declares the Lord, “for I will forgive their iniquity, and their sin I will remember no more.”

Lamentations 3:40

Let us examine and probe our ways,
And let us return to the Lord.

Hosea 3:4-5

For the sons of Israel will remain for many days without king or prince, without sacrifice or sacred pillar and without ephod or household idols.

John 6:45-46

It is written in the prophets, ‘And they shall all be taught of God.’ Everyone who has heard and learned from the Father, comes to Me.

Romans 11:25-27

For I do not want you, brethren, to be uninformed of this mystery—so that you will not be wise in your own estimation—that a partial hardening has happened to Israel until the fullness of the Gentiles has come in;

Treasury of Scripture Knowledge

Summary

Nevertheless when it shall turn to the Lord, the vail shall be taken away.

General references

Bible References

When

Exodus 34:34
But whenever Moses went in before the Lord to speak with Him, he would take off the veil until he came out; and whenever he came out and spoke to the sons of Israel what he had been commanded,
Deuteronomy 4:30
When you are in distress and all these things have come upon you, in the latter days you will return to the Lord your God and listen to His voice.
Deuteronomy 30:10
if you obey the Lord your God to keep His commandments and His statutes which are written in this book of the law, if you turn to the Lord your God with all your heart and soul.
Lamentations 3:40
Let us examine and probe our ways,
And let us return to the Lord.
Hosea 3:4
For the sons of Israel will remain for many days without king or prince, without sacrifice or sacred pillar and without ephod or household idols.
Romans 11:25
For I do not want you, brethren, to be uninformed of this mystery—so that you will not be wise in your own estimation—that a partial hardening has happened to Israel until the fullness of the Gentiles has come in;

The vail

Isaiah 25:7
And on this mountain He will swallow up the covering which is over all peoples,
Even the veil which is stretched over all nations.
Isaiah 29:18
On that day the deaf will hear words of a book,
And out of their gloom and darkness the eyes of the blind will see.
Isaiah 54:13
All your sons will be taught of the Lord;
And the well-being of your sons will be great.
Jeremiah 31:34
They will not teach again, each man his neighbor and each man his brother, saying, ‘Know the Lord,’ for they will all know Me, from the least of them to the greatest of them,” declares the Lord, “for I will forgive their iniquity, and their sin I will remember no more.”
John 6:45
It is written in the prophets, ‘And they shall all be taught of God.’ Everyone who has heard and learned from the Father, comes to Me.

General references

Luke 9:45
But they did not understand this statement, and it was concealed from them so that they would not perceive it; and they were afraid to ask Him about this statement.
Luke 24:45
Then He opened their minds to understand the Scriptures,
Romans 11:23
And they also, if they do not continue in their unbelief, will be grafted in, for God is able to graft them in again.