The Internet Archive obeys robots.txt of course (lucky for you if you have access to it on your site, otherwise not so much) and they will also agree to remove things at the domain owners request. Other libraries might not be so accommodating, specifically the Danish netarchive might not be so accommodating, lets look at some stuff they say - the following is from the already linked survey report:
Results tagged “internet archive” from O'Reilly News
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