Ok, I'm have my options on the death penalty but this isn't about the rights or wrong, for and against.
I want to ask if they have been charged, prosecuted beyond all doubt then what is the reason for the delay in the execution? 10, 20, 30 years?
Going back to the opening question.
There are two overall reasons for long delays between initial sentencing and execution. One which you don't appear to recognize, is that "prosecuted beyond all doubt" actually takes a very long time, because there are now required appeals in most cases. The reason why there ARE required appeals, is directly because of some rush to judgments having occurred in the past, and the laws were adjusted to try to prevent recurrence of that. Argue if you like, over whether such is justified, but that is why the process is very long.
The second extending element has occurred because the death penalty IS controversial. Politically especially. So some executions have been interrupted by political fights.
It seems to be a lot of fun to some people to talk tough about it, and vent their anger at some genuinely horribly destructive people, by declaring that EVERYONE who is thought to be guilty of certain crimes should die, and die quickly. But that sort of emotional response is exactly WHY the delays were put into place.
I sympathize very much with those who are furious with many of the horrid criminals, don't get me wrong in that. I emotionally want people who have committed vile acts to suffer and often be eliminated from our midst as well. But I also know enough history of real instances where someone innocent was thought to have been the murderer or whatever, and was killed by the legal system, only to discover too late that they were only convicted "beyond all doubt," because very real doubt, had been artificially hidden by everyone's blind fury.