This has been fixed.

No. 8 was fixed a few days ago.

http://outpost.gg/no/ayrl7p.png

All the trades you make on the site all show up in searches, it just depends on how accurate the search is.

We're aware of this issue and there should hopefully be a fix soon, I'm the mean time for my trades I found that changing the order of bbcode sometimes fixes the issue.

https://steamhost.cn/steamcommunity_com/groups/tf2outpost/discussions/11/371918937277078997/

Side note, just because you're a donor doesn't mean you should be put above everyone else and have your issue looked into first. Creating multiple tickets to get it assigned to a different admin can be a bannable offence.

https://steamhost.cn/steamcommunity_com/groups/tf2outpost/discussions/11/371918937277078997/

https://steamhost.cn/steamcommunity_com/groups/tf2outpost/discussions/0/558747922562007365/#c540742485382266453

Ban appeals are not allowed on the forums, no one here can help you.

https://steamhost.cn/steamcommunity_com/groups/tf2outpost/discussions/0/558747922562007365/#c540742485382216907

We're working on fixing this, for the meantime if you're looking to find out the user that owns the trade, check the history of the item (click on the item you want to check, first name will be the current owner.)

Like, do the trade offers I make here transfer the item to my inventory once the offer is accepted? Do I have to contact this person via Steam to confirm the trade? Is it something completely different?

The only way items can leave your inventory and into someone elses is through Steam, Outpost is just a platform to get people to show what they're buying/selling.

So say I wanted to go and buy a Swanky new hat for my Soldier: (Doesn't have to be a hat, you can search pretty much any item in TF2)
I would hit the Search button[outpost.gg]
Find the item [outpost.gg] I'm looking for. (Note if you don't know the item name you can just type the class name into the Search bar, it will list all the equipables for that class.
Find a trade[outpost.gg] that I like.
After reading the notes (Look out for things such as "DO NOT ADD ME") and liking the price, I hit the Add On Steam[outpost.gg] button. OR if the user does not wish to be added you can send them a trade offer directly through Steam Here[outpost.gg]

If you add them on Steam, it's a case of waiting for them to accept you, then asking for the hat, then trading with them.

If you send them a trade offer, all you need to do is wait for them to accept the trade and the item will be put into your inventory.