Can I merge rectangle drawing to 'burn' into document?

Question

I've created a PDF file in Acrobat 7 Pro. I've scanned a bunch of magazines that have mailing labels on them and I used the rectangle drawing tool to cover up those mailing labels in order to protect the privacy of the original subscriber.
The problem I have is that the document can be printed by choosing "Document" in the print window and the document will print without those rectangles in place, thus showing the person's name.
Is there any way to merge those rectangle objects that they become a permanent part of the document? Thanks!
Pat

Answer 1

Thanks for all the help. What I did was to download the demo for Acrobat 9 and run the redaction tool on the rectangles. I told it to replace the rectangle with a black fill color. I ended up with a similar looking document, still with black rectangles, but with those essentially burned into the document rather than on a separate layer that could be turned off for printing.
Next time, I'll be placing a blank mailing lable directly on my original copy prior to scanning :)