In it they noted the number of conversations or email exchanges they had lasting more than 10 minutes, and confessed to how may lies they told.
主干：they noted the number..., and confessed to how...
主句用了两个并列的谓语动词：noted 和confessed。or连接两个名词conversations和email exchanges构成并列结构，后面有定语从句they had和现在分词短语lasting more then 10 minutes修饰。
译文：在交流日记中，他们把长达10分钟以上的谈话或者电子邮件交流的次数记录下来，并且承认了他们说谎的次数。