Noxious Strikes and toxic delivery assassin ascendancy question

My question is does Noxious strikes and toxic delivery work with traps I assume the 40% chance to poison does but does the part where it says -

5% increased Poison Duration for each Poison you have inflicted Recently

does this work with traps seeing that it says YOU inflicted and the trap is applying the poison has anyone tested if this works with traps

same thing with the wording of toxic delivery and the YOU wording

Poison you inflict with Critical Strikes deals 25% more Damage

Thanks

Yes, they work with traps.