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Clark: Think I finally have something for the front page.
Tess: An article?
Clark: I found a stack of missing person
cases that no one's talking about. Forsaken cases?
This city is being attacked, and no one seems to care.
Tess: Kind of makes you wish the Red-blue Blur
wasn't sitting down on the job. Not to do his job?
I can't print this. They're called facts, Clark,
and you don't have any.
Clark: You don't care about these victims?
You're sweeping this under the rug. Cover it up?
Tess: Great. Another conspiracy theory,
'cause I love those. Look closely. You will not find a web of lies
behind this facade.
Is she refering to her face by facade?
And does she mean she's not hiding anything?

That would be your department. You're the expert?
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"that no one's talking about" - for some reason these are not attracting media attention, although they ordinarily would.
"sitting down on the job" - yes, not doing his job. A similar expression is "lying down on the job." The inference is that you have to stand up to do the work Emotion: smile
"Sweep under the rug" - yes, cover up, just as a careless housecleaner might sweep a pile of dirt under the corner of a rug instead of going to the trouble of getting out the dustpan.
"Facade" - the word derives from the same root as "face," I'm sure, but it means an artificial front, not the face on your body. http://www.merriam-webster.com/dictionary/facade
And yes, Tess is saying that Clark will not find anything.
"That would be your department" - in a business, there might be a department for marketing, accounting, product development, etc. In each of these departments, the employees are "experts" in their particular specialty.
Comments  
Thanks for the thorough explanation, D!