distinguish unstarted and completed threads viaThread.IsAlive

When a thread is newly created it looks like this

IsAlive = false

while it's running, obviously it looks like this

IsAlive = true

and when its finished

IsAlive = false 

Now, assuming I have a plain list of threads, is there any built-in way to detect if a thread that isn't alive is a thread that has been started or a thread that ran to completion without resorting to ThreadState == ThreadState.Unstarted? Going the Task route is no option for multiple tasks can eventually share one thread which would lead to disaster in my scenario.