Removing the content altogether will be a loss of the SEO and rankings gained by the pages throughout the lifetime of the content.
Instead of removing it, you can set up canonical tags on the copied content pages to point towards the pages with the original content.
Follow this Google Webmasters Blog on canonicalization.
Filtering traffic at the View level can only be done based on four specific options, either sources or destinations:
Source Traffic by IP
Source Traffic by ISP
Destination By Hostname
Destination By Subdirectory
As such, you couldn't filter out only the blog traffic to your website unless your blogs were all in a subdirectory.
Using Advanced Filters while ...