Here you can see how to hide “Edit links” in quick launch left navigation in SharePoint 2013.
This option is useful to drag and drop links in the quick launch, but how ever having access to create a new item they can able to see this option and can also modify these options , we are hiding the Edit Links to restrict all the users, using the CSS as shown below.
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Add the Content Editor or Script Editor in the home page or in any page that you want to hide the “Edit Links”