I recommend that some information be published for users about if they are making progress towards #3 or a notification about if/why they have been demoted to #2, but not specific details like “you must post # more topics to be promoted.”
With some sites if people are posting a lot of new topics every day many people may not want to look at 25% of that which is the requirement for #3, so unfortunately this can mean not the most trustworthy folks may take over the third tier.
If it is possible for this to be done with a color gradient or pie chart that would be ideal, to express just if someone is 20% on their way to tier #3 or at 78% progress would be helpful for people to know what ballpark they are at.