Only the permanents that active player controls phase in/out directly
The rarest and most collectable Pokmon cards are generally those cards with extremely limited print runs - and often low quality copies of these can still go for thousands
Meanwhile, you can still deal 50 damage per turn using Psy Shot and that will be enough to take out some weaker Pokemon
Rush Duel Card game products Core Boosters Starter Decks Structure Decks Booster packs Video games Yu-Gi-Oh

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And tack on that most of the cards arent worth the cost of reholdering to the correct label