If you cast a spell with the alternative collect evidence cost offered by Conspiracy Unraveler and you also collect evidence as an additional cost to cast that spell, abilities of permanents that trigger "whenever you collect evidence" will trigger twice. This is also true for abilities that trigger "whenever one or more cards leave your graveyard." For example, let's say you control Conspiracy Unraveler and Evidence Examiner. You cast Crimestopper Sprite and choose to collect evidence 10 rather than pay its mana cost. You also choose to collect evidence 6 as an additional cost. Each of these will cause Evidence Examiner's last ability to trigger, and you'll end up investigating twice.