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Sale #1
https://backpack.tf/profiles/76561198055774847#!/compare/1493683200/1493856000
Bulk
Sale #2
https://backpack.tf/profiles/76561198002186909#!/compare/1496361600/1496448000
13 pure – low
Sale #3
https://backpack.tf/profiles/76561198178279105#!/compare/1496448000/1496534400
Bulk
Sale #4
http://steamcommunity.com/market/listings/440/Unusual%20Taunt%3A%20Buy%20A%20Life
https://backpack.tf/profiles/76561198118401174#!/compare/1496534400/1496707200
Sold for ~16 keys on SCM
6 additional pure were added in sale #2, and were used as part of a trade to buy a Stormy Festivizer. They wind up here (the other keys seen were not involved): https://backpack.tf/profiles/76561198119140602#!/compare/1496361600/1496448000
And regarding sale #4, how can you know exactly which sale was the effect you're trying to price? There were several sales from the 4th to the 6th, which is the gap in your compare link.