Deindexing vs removing

[How to Remove Court Cases and Public Records from the Internet]

I have a case showing up on several sites when I google my name. I've spoken to a few reputation management companies that have suggested a few different approaches or services I might be able to utilize to get the records off my search results, but I'm still unclear as to what the difference between removing the case and deindexing it is?  Can someone please explain what these terms mean, and which one will best accomplish my aim of hiding the court case online?

[Mark]

You can find information on removing vs deindexing public court records from Remove Online Information here.