They run an online magazine and have been advertising for submissions on the forums.
AW Market Posting
They do charge to read submission, though they read for free in January and July. They're a non-paying magazine, but they do brag in their posts that:
I know $2 is not that big a price tag, but before I submit anything, I would like to know if anyone else has had any dealings and what their experiences were.We pay contributors to Carbon Culture’s collective cultural record two copies of the issue in which their work appears. Consideration for nomination for various prizes, such as the Pushcart Prize, Best New Poets, PEN/O'Henry Prize, Best American Short Stories, Best American Essays, Best American Non-required Reading, Best American Poetry, and Verse Daily is also given.