1. There's no built-in feature in Gmail to do this as of writing this answer (Jan 2013).
2. I had same issue with all these old newsletters and notifications and I have created Google app script to do exactly this, with some help from built-in filtres. Please check out here: http://2sdd.blogspot.ru/2012/11/how-to-clean-up-gmail-inbox-from-emails.html

Script is very simple, feel free to hack it to your own needs.

1. There's no built-in feature in Gmail to do this as of writing this answer (Jan 2013).
2. I had same issue with all these old newsletters and notifications and I have created Google app script to do exactly this, with some help from built-in filtres. Please check out here: http://2sdd.blogspot.ru/2012/11/how-to-clean-up-gmail-inbox-from-emails.html

Script is very simple, feel free to hack it to your own needs.