Copying a single test case into the same suite:
Navigate to test cases manage page
Select the test case by clicking on it
Click on actions menu (...)
Select duplicate option from the dropdown
Confirm the action
Copying multiple test cases within same suite using bulk action
Navigate to test cases manage page
Select one ot more test cases using the check boxes
Click on duplicate button on bulk actions bar
Confirm the action
Copying test cases to a differnt suite within the same project
Navigate to test cases manage page
From the bulk actions bar shown on top, select "Copy test cases"
On the "Copy test cases" form, select the current project as the target project
Uncheck "Copy suites"
Select the target suite from the dropdown shown
Click on "Copy"