I have these lines appearing on top and bottom of a word document (office 2010), just below and above the text (Exactly where the lines for headers and footers are). I have tried to copy the text into a new empty document, but the lines re-appear.
Sounds to me like the lines are part of the paragraph style of the text you're cutting and pasting. Open the Styles list. With your cursor in the text, open the Styles list and scroll until you see the highlighted style. Right-click on the style. Choose Modify. From the Format menu, choose Border. Click the "None" option under "Setting:" and click OK. Hopefully, that will do it.