You can't advance cards in the archives and Snare doesn't activate from there. Also any advancements come off when they are discarded or trashed so they don't have a way to activate in the archives.

kitcat said:

Cards in play are cards that are installed. Trashing a card removes it from play. Forfeiting an agenda removes it from the game.

Saturnine said:

Archives is part of the corp play area, so cards that are in archives are still in play.  The only way to remove a card from play is to remove it from the game.

kitcat said:

I am really confused why you are arguing this but you are wrong. Cards in archives do lose counters as they are no longer actively in play. Removing from the game is completely different and means there is no way for that card to come back. Cards in archives on the other hand are not actively in play but can be brought back with certain effects and be accessed by the runner.

Page 22: If a host leaves play, then all cards and counters hosted also leave play. This cannot be prevented.

I continue to argue, because this rule is badly worded.  Play is never defined and is used inconsistently in the rule book.  I was hoping someone would prove me wrong, instead of just saying I am wrong.

Where in the rule book does it say a card in the archive is not in play?

The rule would be much clearer if it said:

If a host card  is trashed, then any cards hosted by it are trashed and any hosted counters on it are returned to the supply.   This cannot be prevented.

If a host card  is forfeited, then any cards hosted by it are forfeited and any hosted counters on it are returned to the supply.   This cannot be prevented

That the state of being in play or the process of leaving play is not clearly defined in the rule book is one thing, and I can agree with that. However, ignoring the clear implication of the Hosting section about what constitutes leaving play is just being contrarian. Otherwise, any Parasite hosted on an opponent's ice sticks on there when that ice is trashed and ends up sitting in the opponent's discard pile? Any credit counters not spent on an Armitage Codebusting remain on the card after it's trashed? Those discard piles are getting filled with all kinds of junk, apparently. Also, it would mean I could not install a console if I already have one in my heap (because I can only have one console "in play"). So even without an explicit section on the terms "in play" and "leaving play", your interpretation is bizarre (as I suspect you are well aware) and clearly not how the game is supposed to work.

So you are arguing to be difficult ? How is that helpful at all. It is pretty obvious that tokens do not remain on a card after it is trashed.

And just to fully put this ridiculousness to rest a direct quote from the man, the myth, the legend, the games designer, Lukas:

a card sent to Archives will lose all of its hosted counters. Hope that helps,

-Lukas