I've got a bigger problem - I can't switch accounts on Chrome. Just can't. I click on "Switch Account", the names of our other two accounts come up. I click on account B or account C, and get asked for the password. Once I've entered that... account A loads up. 

Chrome will not load any other account. Just won't. 

Only workarounds are to open an incognito window, or to login using Facebook - and even then, I have to re-login that way every time I try to do anything - send a message, check active listings, selling / sold, process orders, etc. Every time I go to a non-search related page, re-login. It's a pain in the ane...

It's doing it on multiple computers, in multiple locations, and with the most up-to-date version of Chrome. Not an issue with Firefox or IE.

From what I've seen on a couple of FB Ebay user pages, it's becoming a common problem.

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I had exactly the same problem trying to sign into other accounts but only getting the one.

I went into my computer and deleted saved passwords for ebay. Now I put them in manually and haven't had the problem since.