Will he keep putting them off?
Even with some prayerful people, God sometimes keeps "putting them off." They pray for a need for years but they get nothing but a blank wall. Have you experienced that? You know it's God's will and all you have to do is ask it in prayer, yet you get nothing for years. Strange, but for some reason, he just keeps putting you off.

Well, this verse tells us unanswered prayers will soon cease and you you'd start getting what you've been asking for. "Will he keep putting them off?" [Luke 18.7] strongly insinuates that God eventually gives what we pray for if we don't give up. The passage adds how God will see to it (imagine that? He'll make sure) that they get justice "and quickly," though "keep putting off" and "quickly" seem two contrasting ideas.

Well, just believe it.