In its statement, Twitter said that the company existed to "serve and help advance the global, public conversation" and therefore would not remove content from elected world leaders.
On Wednesday, Trump's comments about North Korean leader Kim Jong Un and the respective sizes of North Korea and the United States' "nuclear buttons" drew a fresh round of calls to censor his account.
Trump critics have pointed out many instances where it seems as though the president has violated Twitter's terms of service with his messages.
During a speech that Kim Jong-un gave on New Year's Day, he warned the U.S. that North Korea's nuclear forces have been "completed", and his launch button was always in reach. Further, Twitter stated that a decision to shut down an account controlled by a country's leader "would also not silence that leader, but it would certainly hamper necessary discussion around their words and actions".
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"Some activists said Twitter should have banned Trump and one group projected images on the company's headquarters with a message "@jack is #complicit", a reference to chief executive Jack Dorsey and "Ban @realDonaldTrump".
"We review Tweets by leaders within the political context that defines them, and enforce our rules accordingly", the company explained. Twitter declined to take the videos down from Trump's account - saying first that they were newsworthy, and then clarifying that they did not violate its policies.
Other observers have previously called for Trump to be banned from the service, which has become his favorite way of communicating thoughts on topics from the Russian Federation investigation to threats of pulling foreign aid, for allegedly violating its terms of service by flirting with the possibility of nuclear war. "Any time we have any leader tweet, including Trump, there's a very interesting and thriving conversation".
If you're still using Twitter, you probably won't be surprised by the fact that the company retains its right to impose its own rules selectively - after all, it's been doing so for years.