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Thanks for the feedback. I've tried both (full URL and no URL leading) and neither work. It seems to always redirect to the new "/folder-new/" but the old "/page-old/" no matter what. For example: Redirect 301 /folder-old/page-old/ /folder-new/page-new/ results in: http:///www.site.com/folder-new/page-old/

Personally I'd start with a link analysis to answer the question, "Are they stronger than you?"  You'll want to look at their sheer volume as well as the quality and when they were built to get a feel for their current activities. After that I'd obviously look at your content.  Does your content comply with current SEO best practices in it's type and formatting and down to the technological questions such as "Do you have clean and fast code?" and "Are you formatting properly?" If you're looking for assistance in the process Moz actually offers a list of their recommended SEOs.  It's a good list.   You'll find it at https://moz.com/community/recommended.

Hi there! Thanks for reaching out! The time it takes our partners to update the listing really depends on how long it takes them to accept the data we push to them and update the information across their servers. Generally, this can be anywhere from 1 to 4 weeks. If you don't see the listing updated by the end of the 4th week, please let us know and we'll look into it for you. Let us know if you have any other questions and hope you have a great day!