Well, since I was searching the terms like ‘baron’ , ‘duke’ after reaching to those badges, I noticed wrong order of the badges and the days.
According to the british nobility, the corresponding order of Duke, Baron and count is:
Duke > Count > Baron
But in this app:
Baron(75 days) > Duke(60 days) > Count(55 days)
Any native british person can tell us the right order btw.