Two sites one the same server, targeting the same keywords!!

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I would like to know what it will be viewed from the pov of the search engines such as Google. Say, if two sites were present on the same server using the same ip addresses and targeting the same keyword.

Actually the situation here is I am already ranking with one site. Now, I cannot edit or re-enter more content in it. So, I figured if I publish it in a new site it will be pretty easy to rank, for the same keywords.