There are tweet ads, yes. They are usually marked as "promoted"
I found it useful to "report as spam" the account they were coming from so at least you only see them once...
I found the new layout to be headache inducing for my english-speaking, left-to right-reading brain so I switched to the Chrome plug-in Silverbird on TVGugs recommendation... and haven't seen the promoted tweets since. Maybe that's because I'm using lists more... but it solved a lot of problems for me.
Cable phone service comes in two varieties. Some companies offer VOIP (Voice over IP) and some offer standard telephony services with the cable line as the transport. VOIP service is similar to what you get when you subscribe to Vonage.