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Steemit Inc needs to contact Binance and do what all the other currencies do and pay to get it listed.

Did Steemit Inc do that to get STEEM listed?

Who knows. When STEEM nodes needed software update last time, It took Binance one and a half months to get their node updated and synced. My guess is that Binance is getting no support from Steemit Inc.

pay to get it listed
Who knows

Am I missing something here

What I am saying is that popular coins don't always have to pay to get listed like STEEM. SBD on the other hand must have to pay. There is no way to know if Steemit Inc had anything to do with the listing of STEEM. It certainly took way longer than any other coin in the top 50. Given that Steemit Inc doesn't support the exchange, I suspect that they had nothing to do with the listing of STEEM.