In reality, the left is censored more than the right. This has been studied a few times in the last several years. You can read the latest study here: https://static1.squarespace.com/static/5b6df958f8370af3217d4178/t/60187b5f45762e708708c8e9/1612217185240/NYU+False+Accusation_2.pdf
Platforms like Facebook, Twitter, Google, ect, aren't "left leaning" and shut down conservatives. Conservatives get more leeway than liberals do. Why? Because conservatives cry about it so much when it happens, platforms are slow to do it in an abundance of caution.