A {Trash} effect can be triggered/activated while its card is in the trash. Such effects can't be triggered or activated in areas other than the trash.
If my [Creepymon] attacks and an effect such as a [When Attacking] effect trashes this card, can I activate this card's {Trash} [Your Turn] effect after it's trashed?
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Official Ruling
No, you can't. You can only activate this card's {Trash} [Your Turn] effect if it's already in the trash upon the timing when you make the attack declaration for your [Creepymon]. If this card is placed in the trash by an effect that activates after making the attack declaration for your [Creepymon], this card's {Trash} [Your Turn] effect won't trigger and you can't activate it.
I activated this card's [When Digivolving] effect, and when my opponent's Digimon would leave the battle area for the 1st process, an immediate-type effect such as a "when [...] would leave" effect caused this card to be removed from the battle area. Can I then process the part of the effect after "then" in this card's effect?
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Official Ruling
Yes, you can. If an effect activates, it is to be fully resolved even if the card that activated the effect is removed from that area during the processing.