You can delete only those projects to which you have unrestricted access.
To delete a project
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Open the Navigation View and click the Projects tab.
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Right-click the project you want to delete.
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From the menu, select Delete.
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Click Yes to confirm you want to delete the project, and if necessary, remove any related objects.
Note: You can also use the Delete option on the menu that appears when you
right-click a project name in either the Navigation View or in the Projects list
view.