Can two banks share one advertisement?

My bank (bank A) will soon be acquired by another bank (bank B). The two separate holding companies will merge by mid September. Once completed there will be one holding company operating two separate bank subsidiaries. There are plans to advertise a Certificate of Deposit Promotion with the two bank subsidiaries offering the same rate and term. Are there any issues I should be aware of?

The thing that comes to mind is what Andy Z was referring to in a different post (sorry, don't know how to link posts) about price fixing.