what is going to happen with unsold tokens? is going to burn to reduce token in existence?
Any unsold Tokens will be destroyed by the Ethereum smart contract on the last day of the token sale.
...that would automatically boost the price of the remaining ones (at least it is so hopefully intended))
Well it would certainly help the market cap of the project which is often overlooked and undervalued by a lot of investors. Any investor should want these tokens destroyed instead of just ending up somewhere to be dumped. I applaud the decision of the team.