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You can manage & track your card collection and decks once you create an account and login.
The cards under Lockdown are basically out of play for a while. They’re not considered on the battlefield, even if that’s where they are physically, so none of their abilities apply. If one of those cards is an Upgrade, that Upgrade isn’t on Lockdown, and so on. They’re also not in your scrap pile, so they won’t be shuffled into your deck when it’s empty. They’re just used to keep track of the bonuses from Lockdown’s other abilities.