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If they don't comply on multiple occassions and their host gets a DMCA, most probably yes. Google might and/or unlist the pages from search.

The website can get shutdown but not the blockchain which runs everything and is the backbone. So actually anybody can connect to the blockchain and make tons of steemit.com like websites. We already have one called Piston I think . In a way it cant get shutdown unless you turn off the world internet, thats whats great about blockchain technology its decentralized. Read about bitcoin should help.


PISTON
https://steemit.com/piston/@xeroc/piston-web-first-open-source-steem-gui---searching-for-alpha-testers

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