Hi Ashlynn! I just noticed you were on my sign-up list for Dueling, so you're now added to my class
I peeked at your profile as well to see what other classes you signed up for, and I'm pretty confident that your other professors are active as well, so I wouldn't worry! Since we're in the middle of term, most classes only get a new sign-up or two every few weeks, if that, so professors probably aren't checking their sign-ups very often (I know I'm not). I also sometimes forget to check for new sign ups because it's a fairly recent change to allow them throughout the whole term. In other words, I don't think you need to be worried that your professors aren't around
I think you could go ahead and start sending in assignments (if you haven't done so already), and I'm sure you'll be approved whenever the professor does their grading!