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The Parent Book counts the pages read in this browser, as it counts everyone’s: which page, where the visit came from, and how far down it was read, and nothing that says who you are. If you would rather it did not, press the button. One cookie will remember your choice, for a year, and will do nothing else.
If you subscribe, your account still keeps which chapters you have opened and your place in each, so that your library can take you back to where you were (section 3.2 of the privacy policy). That is part of your subscription, not of the count, and this page does not change it.