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(Not Tradable).
You even own not tradable metal.
http://wiki.teamfortress.com/wiki/Account_types
If this is not the case let steam know.
You are a TF2 F2P player, you can't trade TF2 items that have not been traded to you.
There is no retail version of TF2 alone, and you don't own the orange box games.
I'm afraid you mixed getting a TF2 premium account with getting a Steam premium account.
You have a Steam premium account (since you have purchased games on it) which let's you add friends and such.
You have a TF2 free account as you haven't either redeemed/purchased a Orange box/Valve complete pack nor made a purchase on the MannCo Store. That means you cannot trade your TF2 items.
Limited Steam accounts
TF2 Free-to-Play FAQ
There, I even underlined and bolded it.
TF2 itself is neither the Orange Box nor the Valve Complete Pack.