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7 exist, 3 have sold recently

Hat 1: http://backpack.tf/item/4703274764

Sale 1.1: Baconlessness > Gitchgi, 24 March

http://backpack.tf/profiles/76561198062019127#!/compare/1490227200/1490313600

http://www.tf2outpost.com/trade/28844256

QS for 31 pure

Hat 2: http://backpack.tf/item/4952975175

Sale 2.1: Komayto > DoGiraffe, 30 March

http://backpack.tf/profiles/76561198114635132#!/compare/1490832000/1490918400

Sold for dead pres festivizer (16, in-date) + phos connoisseur's cap (33, one year ago)

X = 16 + 33 = 49

B/O of 45 pure http://www.tf2outpost.com/trade/28847997

Taking 45 due to mini below

Sale 2.2: DoGiraffe > Tjena Nils, 02 April

http://backpack.tf/profiles/76561198114635132#!/compare/1491004800/1491091200

Sold with ~2 keys in sweets for strange flaming lantern private eye (55-65, in-date)

X = 60 - 2 = 58

B/O of 45 http://www.tf2outpost.com/trade/28855082

Taking 45

Sale 2.3: Tjena Nils > Kate-, 08 April

http://backpack.tf/profiles/76561198067990540#!/compare/1491609600/1491696000

1:1 with spec ks aussie RL (had ~3.5 keys of parts)

Taking 36

Sale 2.4: Kate- > DerpyEgg, 10 April

http://backpack.tf/profiles/76561198115102647#!/compare/1491782400/1491868800

Sold with ~1.5 keys in sweets for a vivid hot dogger (65, 9 months ago) + s.pro airstrike (1.5)

Equals 1:1 with vivid dogger

Excluding; mini not possible

Sale 2.5: Wsdea > BreNine, 11 May

http://backpack.tf/profiles/76561198095862827#!/compare/1494374400/1494460800

http://backpack.tf/profiles/76561198040484366#!/compare/1494374400/1494460800

Sold for smoking virtual reality headset (13, one year ago) + aces l'inspecteur (11, in-date) + steaming old guadalajara (12-15, in-date) + ~11 keys in sweets

Calling the virtual reality still 13 due to buyers/sellers

X = 13 + 11 + 13.5 + 11 = 48.5

Does not cap at B/O of 55 http://www.tf2outpost.com/user/76561198095862827

Taking 48

Hat 3: http://backpack.tf/item/2666721277

Sale 3.1: marketplace

https://marketplace.tf/items/780;5;u11/TF%20Logo%20Fed-Fightin'%20Fedora

Sold for $85.80 on 2 April, keys closest to $2.13 on that day = ~40 pure

Taking 40

Mini Phos Connoisseur's Cap:

http://www.tf2outpost.com/trade/28853973

sold for 27 + sf.pro ambi (9) = 36

http://backpack.tf/profiles/76561198171495646#!/compare/1493078400/1493164800

sold for pro aussie sniper = 32

Both essentially pure sales, will average to 34

Mini vivid dogger

only recent non-scrap sale: http://backpack.tf/profiles/76561198139691389#!/compare/1495238400/1495411200

1:1 DBD salty (65, 7 months ago)

Micro DBD salty

1 recent sale; the one in the mini

Not possible, have to exclude

Sales of:

31 pure, QS

36 pure, banned

40 pure marketplace

45 in hats, capped from 58, banned

45 in hats, capped from 50

48 in hats

Sales 2.2 and 2.3 are around a user banned for impersonation: http://backpack.tf/u/76561198067990540

This means I cannot directly use the 45 in hats and 36 pure sales, though they do support the range if we assume the latter was qs.

Remaining sales:

40 pure marketplace

45 in hats

48 in hats

Final range: 40-48

Creds to Marty for finding the additional sweets on sale 2.5 and advising the use of the pure B/O on sale 2.1