ANTHONY MORRISON: ANTHONY MORRISON LIVE

When I set up a domain for my website, and set up masking, since this seems more professional, is there a way to have my deals still show up in the URL?

for instance, let's say my site (new purchased domain) is...

bestdealsoutthere.com

and I forward it to my

name.dealshop.us/

it masks and works fine. (still shows bestdealsoutthere.com in the browser link bar)

however, when I go and click on an ad, and it might look like:
name.dealshop.us/offer/apply.....ETC

and so I expect it to look like:
bestdealsoutthere.com/offer/apply....ETC

but instead it still just shows in the address link bar:
bestdealsoutthere.com

any way to change this? (either with my account here or w/my domain registrar's account)

Thanks,
Tom