Does cards keep cost reduction after trade/shuffle?

I want to play some DH and there are some cards like rustrot viper + glide that reshuffle your hand. Thing is, if i play Demonslayer Kurtrus, then i draw for example that rustrot viper (it cost 1 now), and then draw it again in future, will it cost 0 because of (1-2 cost) or again 1 mana because of that trade back in deck reseted his cost to 3 again?

They do keep it after trading

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And if i shuffle hand with Glide, it resets to original cost or does it keep too?

They reset the cost and stats when you shuffle.

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reset when you shuffle

keep it when you trade

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Cards that move “backwards” in play (ie: board to hand, hand to deck, or board to deck) lose any enchantments on them.
The Trade mechanic is different, and does not cause the card to lose enchantments.

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which is the most confusing thing currently in the game, unexplained and unjustified by logic :joy:

I still take it, but they should make the keyword description and actual description of what the mechanic does to avoid confusion