That could be a card like Davriels Withering, which perpetually gives a creature -1/-2 if that card reduces a creature to 0 toughness or less and sends it to the graveyard, for example, the debuff will remain in effect even if a player is able to bring it back to battlefield (causing it to immediately die again)
" Did you go through all the trouble to unscramble this
Generally, yes
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It enters the battlefield with a menace counter, giving it some evasion when it attacks
When a core is added, a thick sheet of paper is placed between the front and backside of the card