You can use multiple tabs/windows when working in Google Adwords and Google Analytics. I use a separate window for Analytics and Adwords so I can take action in Adwords management on improvements I identify while reviewing the Analytics data. This is much easier and faster than switching back and forth in the account.
Google automatically logs you back into your account if you've timed out. Use this to your advantage. If you go to the main log-in page in a new window/tab their system will automatically log you in. Just remember that you're working in multiple areas of your account so you don't accidentally paste something into the wrong place.
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