Before the ban, the social media post with the median engagement generated 272,000 likes and shares. After the ban, that dropped to 36,000 likes and shares. Yet 11 of his 89 statements after the ban attracted as many likes or shares as the median post before the ban, if not more. How does that happen? Mr. Trump had long been his own best promoter on social media. The vast majority of people on Twitter and Facebook interacted directly with Mr. Trump’s posts, either liking or sharing them, The Times analysis found. But after the ban, other popular social media accounts often picked up his messages and posted them themselves. (Last week, Mr. Trump shut down his blog, one of the places he made statements.)