I don't think Microsoft, Google etc... keep IP addresses specifically with regard to filtered searches, but they do keep logs of all searches/IPs for analytic purposes.
We should all be conscious of the fact that any amount of "web usage" generates logs somewhere. How much of your details end up in these logs depend on what your system/browser leaks and how much detail your ISP has on you.
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I don't think Microsoft, Google etc... keep IP addresses specifically with regard to filtered searches, but they do keep logs of all searches/IPs for analytic purposes.
We should all be conscious of the fact that any amount of "web usage" generates logs somewhere. How much of your details end up in these logs depend on what your system/browser leaks and how much detail your ISP has on you.
Yes I am aware of server logs, and very unlikely to trigger one of these pop-ups as I use Google safe search all the time.
Rickrolling could be an issue though with a spammed link to a Bing search.