Sale 1:

https://backpack.tf/profiles/76561198114039731#!/compare/1648339200/1648512000

https://backpack.tf/profiles/76561198439176148#!/compare/1648425600/1648512000

1650 keys

Sale 2:

https://backpack.tf/profiles/76561198135471163#!/compare/1651017600/1651104000

https://backpack.tf/profiles/76561198025018960#!/compare/1651017600/1651104000

https://gladiator.tf/listings/6269b0488f1160cfad6c0880

Spellbound Letch's LED (604, https://backpack.tf/suggestion/628b77490840a53483445fa0)

+

Strange Atomic Corona Australis (~1150)

https://backpack.tf/profiles/76561198025018960#!/compare/1642809600/1642896000

This outdated sale looks like ~1150 keys (Beams Belt + Nebula Translator + Stuff)

+

Duped Scorching Flames Defiant Spartan (105)

https://backpack.tf/profiles/76561198168820816#!/compare/1651104000/1651190400

105 keys

+

Strange Festivized Professional Killstreak Australium Minigun (~49)

https://gladiator.tf/sales?item=Strange%20Festivized%20Professional%20Killstreak%20Australium%20Minigun&at=2022-04-28T12:37:52.838Z

~49 keys

=

1908 keys

smartieshehe's listing at 1700 is a dupe, so this seems feasible.

Sale 3:

https://backpack.tf/profiles/76561198063640894#!/compare/1650412800/1650499200

https://backpack.tf/profiles/76561198135471163#!/compare/1650412800/1650499200

https://gladiator.tf/listings/6260af2efbf0a0c13ad5b5ad

500 keys

+

Duped Cloudy Moon Soldier's Stash (1040)

https://backpack.tf/profiles/76561199220039423#!/compare/1649894400/1649980800

https://backpack.tf/profiles/76561198135471163#!/compare/1649894400/1649980800

https://gladiator.tf/sales?item=Cloudy%20Moon%20Soldier%27s%20Stash&at=2022-04-15T12:25:32.363Z

1040 keys

+

Disco Beat Down Team Captain (180)

https://backpack.tf/profiles/76561198799319181#!/compare/1648857600/1649116800

180 keys

=

1720 keys

Sale 4:

https://backpack.tf/profiles/76561198344363390#!/compare/1646697600/1646784000

https://backpack.tf/profiles/76561198065906371#!/compare/1646697600/1646784000

Veil

+

VFB Green Black Hole Gilded Guard (195)

https://backpack.tf/profiles/76561198244962432#!/compare/1652227200/1652400000

https://backpack.tf/profiles/76561198041144544#!/compare/1651708800/1652400000

https://gladiator.tf/time-machine?item=Green%20Black%20Hole%20Gilded%20Guard&at=2022-05-11T10:26:17.000Z

1:1 w/ Spelled Collector's Professional Killstreak Original (195 https://backpack.tf/profiles/76561198173695818#!/compare/1648080000/1648166400 https://gladiator.tf/sales?item=Collector%27s%20Professional%20Killstreak%20Original&at=2022-03-24T13:26:47.314Z)

for

Scorching Flames Master's Yellow Belt (855)

https://backpack.tf/profiles/76561198158206236#!/compare/1650499200/1650585600

https://backpack.tf/profiles/76561198069129341#!/compare/1650499200/1650585600

https://gladiator.tf/listings/62618261f303b6af9cdca6e0

Sunbeams Master's Yellow Belt (585) + Dupe Dead Presidents Villain's Veil (250, https://backpack.tf/suggestion/628b8d6245420451e3345287) + Haunted Ghosts El Mostacho (16 https://backpack.tf/profiles/76561199110809353#!/compare/1649030400/1649116800) + Bill's Hat (~4) = 855 keys

+

Duped Knifestorm Brain Bucket (706)

https://backpack.tf/suggestion/621c1a59ef1b7c71b56e3d2e

Taking sales at 517 and 894 from here, ~706 keys

+

250 keys

855 + 706 + 250 - 195 = 1616 keys

Sale 5:

https://backpack.tf/profiles/76561198258937500#!/compare/1646438400/1646524800

https://backpack.tf/profiles/76561198344363390#!/compare/1646438400/1646524800

Veil

+

VFB Strange Horseless Headless Horsemann's Head (150)

https://backpack.tf/profiles/76561198251704884#!/compare/1649030400/1649116800

https://backpack.tf/profiles/76561198326511775#!/compare/1649030400/1649116800

https://gladiator.tf/listings/624bade5761eff60142f3d6c

Looks like Strange Hot Professional Killstreak Leopard Printed Bazaar Bargain (Minimal Wear) (155 outdated) + PB Strange Professional Killstreak Festive Grenade Launcher, probably caps at 150 key B/O

+

~22 keys

for

Spellbound Gentleman's Gatsby (920)

https://backpack.tf/suggestion/61b563b697893e0b3453b966

Taking older mini at 920 keys

+

Circling TF Logo Antlers (625)

920 + 625 - 150 - 22 = 1373 keys

Sales:

1373

1616

1650

1720

1908

The spelled also sold in that order: 1373 -> 1616 -> Bulk -> 1720 -> 1908

So two of the spelled sales end being higher than the 1650 non-spelled sale, two below. Excluding the highest and lowest sale also gives us 1600 - 1700 (rounded), the same midpoint as the pure sale. Otherwise we could take ~1350 - 1900.