Many people think the wallet is run from our servers. The wallet is running on your computer. The private keys are stored on your computer. They never leave your computer, ever.
We actively configure services to not log or we configure them to delete the logs frequently in accordance with our core values (#2). When you access our Web site your browser makes a Web request to our server. The server software we utilize will create a log of this request. This is standard for every Web site you visit anywhere on the internet (reddit, google, duckduckgo, etc) and is not unique to the server software we use. We do not retain or analyze this data and it is deleted frequently.