All you need to do is to clear your private data in your browser. In Mozilla it's in the Tools menu. That won't speed up your computer, but it will hide what you searched for, at least on your own computer.

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2004 VW Jetta TDI (manual)

Past MB's: '96 E300D, '83 240D, '82 300D, '87 300D, '87 420SEL