We read:
Then he said to his servants, ‘The wedding is ready, but those who
were invited were not worthy. 9 Therefore go into the highways, and
as many as you find, invite to the wedding.’ 10 So those servants
went out into the highways and gathered together all whom they found,
both bad and good. And the wedding hall was filled with guests.
11 “But when the king came in to see the guests, he saw a man there
who did not have on a wedding garment. 12 So he said to him, ‘Friend,
how did you come in here without a wedding garment?’ And he was
speechless. 13 Then the king said to the servants, ‘Bind him hand and
foot, take him away, and cast him into outer darkness; there will be
weeping and gnashing of teeth.’
14 “For many are called, but few are chosen.”
Matthew 22:8-14
Since there is an element of evangelism here where the servants are commanded to invite people to the wedding, the "calling" is not about the internal call of God as in (Romans 8:30) but the "call" in Matthew 22:14 is talking about the external call of the gospel. This can be seen when people proclaim the gospel, see: Romans 10:14-15.
The internal call of the gospel is only seen in those who are chosen by God(Ephesians 1:3-4, Romans 8:30, John 6:44, John 6:37-40).
The word in Greek for "draw" in John 6:44 has the primary definition of: to drag, draw, pull in. Not woo or entice, source: https://www.billmounce.com/greek-dictionary/helkyo
So John 6:44 and Matthew 22:14 are talking about 2 different callings in reference to the first part of Matthew's verse with the words "many are called".
Many are called to repentance and faith in Jesus that they might attain the wedding, but only few are Chosen in Christ for redemption.
This is what Jesus was getting at:
"Everything that the Father gives Me will come to Me, and the one who
comes to Me I certainly will not cast out. 38 For I have come down
from heaven, not to do My own will, but the will of Him who sent Me.
39 And this is the will of Him who sent Me, that of everything that He
has given Me I will lose nothing, but will raise it up on the last
day. 40 For this is the will of My Father, that everyone who sees the
Son and believes in Him will have eternal life, and I Myself will
raise him up on the last day.”
All who come to Christ are first given to Him by His Father, and they shall come according to Jesus.
Jesus said a definite number of people would be given to Him:
"just as You gave Him authority over all mankind, so that to all whom You have given Him, He may give eternal life." (John 17:2)
The Gospel call is needed to draw God's sheep in(John 10), but not all will respond positively because not all are Chosen to be in Christ.
We also have a text that seems problematic to predestined drawing to Christ for eternal life:
And I, if I am lifted up from the earth, will draw all people to
Myself.” (John 12:32)
Well, John 6:37 and John 12:32 cannot be a contradiction, since Jesus spoke both of them.
How do we reconcile them? There is more than one way to interpret John 12:32:
1.) Jesus draws all of mankind without exception. (If this is the meaning, He has failed His mission to save all per 1 Timothy 2:4) {By Jesus hypothetically failing His mission, read 1 Tim 1:15}
2.) Jesus draws all of mankind without distinction. (This can be seen in Revelation 5:9, where Jesus redeemed people from every tribe, tounge, nation, and people.)
3.) Jesus draws all of mankind universally and nobody goes to Hell in the end. (There is too much biblical data that would dismiss such a view of universalism)
View #2 is likely in view as being the correct answer, yet with view #1 if that is the case, one would have to wonder why God cannot accomplish what He wills.
Ephesians 1:11 makes it clear that God works all things after the counsel of His will, and Isaiah 46:9-10 makes it clear that God will accomplish all of His pleasure... and Ephesians 1:1-14 makes it clear that God does indeed accomplish His redemption. So interpretation #1 and #3 are unlikely.
CONCLUSION Many are called to Christ via the Gospel proclamation, but few are chosen in Christ for eternal life: (Ephesians 1:3-4, Romans 8:28-30).