You need to show the spelled items are worth 13 Keys.

https://backpack.tf/profiles/76561198203329842#!/compare/1699488000/1699574400 - The Jefe added 2 Keys for a Blizzardy Birdcage (9)

https://backpack.tf/profiles/76561198164814063#!/compare/1699660800/1699747200 - The Jefe seller quickly sold the Birdcage for 9 Keys + Ref

https://backpack.tf/profiles/76561198377298887#!/compare/1697932800/1698019200 - You sold the Graybanns for 5 Keys

https://backpack.tf/profiles/76561198377298887#!/compare/1698278400/1698364800 - The Graybanns also sold for 6 Keys

I can't find any Flapjack sales, but if your sale is valid, that can be used. If not, use the buy order price of 2 Keys for it.

Also, there are other recent sales to look into.

https://backpack.tf/profiles/76561198372059615#!/compare/1696809600/1696982400 - What'd you buy this for?

https://backpack.tf/profiles/76561198067091489#!/compare/1696809600/1698278400 - 46 Keys?

https://gladiator.tf/time-machine?item=Burning+Flames+Brimmed+Bootlegger&at=2023-10-25T18%3A56%3A00.000Z - It was likely more than 46

https://backpack.tf/profiles/76561198305507617#!/compare/1698624000/1698710400 - 72 Keys + Strange Festive Sniper Rifle (33 Keys)

https://gladiator.tf/sales?item=Strange%20Killstreak%20Festive%20Sniper%20Rifle&at=2023-11-01T05:44:28.302Z - The 28 sale was below non-KS buyers

The 46 Key sale was likely closer to 55 Keys which would still put the sale at buy order price at the time, so that can be excluded.

If your Flapjack sale is usable, then the sale in the suggestion will need to be updated to reflect the more accurate spell prices.

This suggestion will need to be closed anyway to add the Sniper Rifle sale.