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The Tumblr blog owner can choose to show that or not

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If you're a Tumblr user you'll see two buttons in the upper right-hand corner on every Tumblr blog - regardless of any change of settings.

This isn't meant for advertising though (these are existing users after all). Those two buttons allow you to:

  a) Follow that Tumblr (like RSS)
  b) Go to your Tumblr Dashboard