Well to answer the first part of your question, the broomsticks the trio use to evacuate themselves, Malfoy and Goyle from the room certainly do make it out of the room:
Then, through the smoke, Harry saw a rectangular patch on the wall and steered the broom at it, and moments later clean air filled his lungs and they collided with the wall in the corridor beyond.
Malfoy fell off the broom and lay face down, gasping, coughing and retching.
Harry Potter and the Deathly Hallows - p.509 - Bloomsbury - Chapter 31, The Battle of Hogwarts
So, yes, they were able to be removed.
Whether they faded away with time is not possible to say.
Also, given the nature of the room of hidden things, it is not clear whether the brooms were created by the room itself, or whether they were once hidden there by students, who brought them into the room from outside. One presumes the magic of the room brought the brooms to hand, in this case, but there's no absolute proof the room created them.
I'll go you a little bit better than that. When Dobby first recommended the Room of Requirement to Harry he said:
'... and Dobby knows Mr Filch has found extra cleaning materials there when he has run short, sir, and -'
Harry Potter and the Order of the Phoenix - p.343 - Bloomsbury - Chapter 18, Dumbledore's Army
I think it fair to conclude that the cleaning materials were generated by the room itself. The room of hidden things is a little different as it's basically a storage vault, whereas the rest of the time the Room seems to equip itself. It also seems very likely Filch was able to take those materials out, otherwise it's hardly much of a recommendation from Dobby is it? How long these materials survived, though, is again unclear.
That's the best I can do.