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Header check tools (I am not technical) show 301 pointing to new URLs so it looks like we have single step redirect in place.
2. Some old URLs are presented in the SERPs in an: Anchor text - SiteName.com format
Do you think we should consider getting back to old URLs? I guess the key here would be to figure out a way of doing it without any redirects, etc. Still does it make any sense?
Have you checked URLs individually, particularly the old urls that are still showing in serps?
Assuming you're talking about competitive serps, it's somewhere between extremely unlikely and impossible that they would rank on their old urls for competitive searches if a header checker shows that these urls have been 301ed, unless Google has decided to show redirected urls it feels might be in some way suspicious or odd.
What was the query that returned in the above result. Was it perhaps this....?
IMO, and this is a total guess... it would make sense only if the redirects were the problem.
If the inbound links to the redirected urls were the problem, then you wouldn't really be changing what's causing the trouble. I'm thinking after all this time, it doesn't make sense to go back to the old urls.
I'd check quality of inbound links and also really have someone knowledgeable check over those redirects.
[edited by: Robert_Charlton at 6:56 pm (utc) on Jul 26, 2012]
[edit reason] disabled auto-linking and smilies to make post legible [/edit]