"as long as" vs "for as long as"

I’m trying to see what part of speech "as long as" is in two different structures.

EXAMPLES:

1, As long as old people are happy, they should work for a
s long as they want.
"As long as" here is a conjunction…is that correct?

2, Old people should work for as long as they want.

Question: what part of speech is "as long as" in this sentence (when it follows "for")?