I'm not trying to get into a super big argument with you, so I hope you don't take it that way. But, I understand what the half life of a drug is, but it's not the same as it's clearance level, for example, what you would look at on a drug screen. The half life of testosterone cyp for example is about 7-10 days. It doesn't stay in your system for longer than that, which is why you have to take it weekly to keep your testosterone levels high.
But, if you were looking at it from a drug screening perspective, then it would still be pretty short (definitely not detectable up to 40 days afterwards). If you remember that whole BALCO scandal, Patrick Arnold synthesized epitestosterone and they would take testosterone and then take an equal amount of epitestosterone so when they did a blood test, it would make it look like their testosterone levels weren't out of range because the epitest was at an equal level. But, still after that, it would not show up in the body on a drug screen for MAYBE more than 30 days, but those are just the metabolites of the drug, and since the ester detaches from the hormone as it breaks down, it's not going to last that long. The only exception to this I can think of is Deca, because nadrolone deconate can store in fat tissue and can show up years down the line if that person who took nandrolone starts to lose fat, it can come out in the fat stores and show up on a drug screen. But, it's not active as an actual drug during that time.
So, I think you're confusing the half life of a drug with the clearance level that it would show up on a drug test. Another example, that's why you go on PCT about 2 weeks after your last shot of test cyp or enan, but with something like Sustanon, because it has esters that can take 4 weeks to break down, you would start your PCT a month after your last Sustanon shot.