My own take on that as to an answer would be this, in verse 20.
Acts 21:18 And the day following Paul went in with us unto James; and all the elders were present. 21:19 And when he had saluted them, he declared particularly what things God had wrought among the Gentiles by his ministry. 21:20 And when they heard it, they glorified the Lord, and said unto him, Thou seest, brother, how many thousands of Jews there are which believe; and they are all zealous of the law:
In other words, though their hope had been postponed, they remained under it, for it is THEIR hope.
This here...
1 Peter 1:1 Peter, an apostle of Jesus Christ, to the strangers scattered throughout Pontus, Galatia, Cappadocia, Asia, and Bithynia, 1:2 Elect according to the foreknowledge of God the Father, through sanctification of the Spirit, unto obedience and sprinkling of the blood of Jesus Christ: Grace unto you, and peace, be multiplied. 1:3 Blessed be the God and Father of our Lord Jesus Christ, which according to his abundant mercy hath begotten us again unto a lively hope by the resurrection of Jesus Christ from the dead, 1:4 To an inheritance incorruptible, and undefiled, and that fadeth not away, reserved in heaven for you, 1:5 Who are kept by the power of God through faith unto salvation ready to be revealed in the last time. 1:6 Wherein ye greatly rejoice, though now for a season, if need be, ye are in heaviness through manifold temptations: 1:7 That the trial of your faith, being much more precious than of gold that perisheth, though it be tried with fire, might be found unto praise and honour and glory at the appearing of Jesus Christ: 1:8 Whom having not seen, ye love; in whom, though now ye see him not, yet believing, ye rejoice with joy unspeakable and full of glory: 1:9 Receiving the end of your faith, even the salvation of your souls. 1:10 Of which salvation the prophets have enquired and searched diligently, who prophesied of the grace that should come unto you: 1:11 Searching what, or what manner of time the Spirit of Christ which was in them did signify, when it testified beforehand the sufferings of Christ, and the glory that should follow. 1:12 Unto whom it was revealed, that not unto themselves, but unto us they did minister the things, which are now reported unto you by them that have preached the gospel unto you with the Holy Ghost sent down from heaven; which things the angels desire to look into. 1:13 Wherefore gird up the loins of your mind, be sober, and hope to the end for the grace that is to be brought unto you at the revelation of Jesus Christ;
They died out in THEIR hope because that is THEIR hope, just as those before them died in THEIR aspect of THIS SAME hope.
What awaits these brothers and sisters of ours as to THEIR "Kingdom Saint" hope?
Look at this absolutely moving portrait of THEIR hope in it's beauty...
John 11:14 Then said Jesus unto them plainly, Lazarus is dead. 11:15 And I am glad for your sakes that I was not there, to the intent ye may believe; nevertheless let us go unto him. 11:16 Then said Thomas, which is called Didymus, unto his fellowdisciples, Let us also go, that we may die with him. 11:17 Then when Jesus came, he found that he had lain in the grave four days already. 11:18 Now Bethany was nigh unto Jerusalem, about fifteen furlongs off: 11:19 And many of the Jews came to Martha and Mary, to comfort them concerning their brother. 11:20 Then Martha, as soon as she heard that Jesus was coming, went and met him: but Mary sat still in the house. 11:21 Then said Martha unto Jesus, Lord, if thou hadst been here, my brother had not died. 11:22 But I know, that even now, whatsoever thou wilt ask of God, God will give it thee. 11:23 Jesus saith unto her, Thy brother shall rise again. 11:24 Martha saith unto him, I know that he shall rise again in the resurrection at the last day.
Why?
11:25 Jesus said unto her, I am the resurrection, and the life: he that believeth in me, though he were dead, yet shall he live: 11:26 And whosoever liveth and believeth in me shall never die. Believest thou this? 11:27 She saith unto him, Yea, Lord: I believe that thou art the Christ, the Son of God, which should come into the world.
Note THEIR Glorious hope!
Hebrews 9:27 And as it is appointed unto men once to die, but after this the judgment: 9:28 So Christ was once offered to bear the sins of many; and unto them that look for him shall he appear the second time without sin unto salvation.