You'll want to close a lead that doesn't book with you, whether it's because you were out of their budget or they simple went stale, by choosing the Close button when viewing the lead's overview screen. There, you'll be able to choose the reason they're not booking with you.  If there are any open quotes on the lead or job, it will be deactivated upon close, but if you reopen it at any time, it will bring back that quote for you.

Just like a lost lead, you'll want to close the previously booked job by choosing the Close button on the right when viewing the job's overview. There, you'll be able to choose the reason they're not continuing with you. This will void the rest of any open order(s), but keep the payments made intact.
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If you want to close multiple leads at once using the same closed reason, you'll select all or several of your leads in the list and then choose the "Close" option up top.  You'll then be prompted to choose the reason for their closing on the following screen.

Review this article on our Support site that answers this question, going over the difference between closing and completing a job.