However getting an image of a clean sink to replace the dirty one would have required, um, cleaning, so that was out of the question.
Instead, I used my camera's "panerama" mode to take several dozen pictures of people walking in front of Mary Gates Hall, without moving the camera, each photo with the same exposure settings. I wanted to remove the people from the sidewalk, so I used my intelligent scissors program to create a mask. (Actually, I chopped up the image into smaller chunks and reassembled them into one big mask, since iScissors choked on my multi-megapixel original.)
Chances were, I could find blank areas in the other images to cover every person. Using multiple images makes a much cleaner result than Photoshop's "clone" tool could.
Finally, I made a copy of the original image and applied the mask to get an image of only the people. I blurred this (Gaussian, 10 pixel radius), and reduced the opacity to about 80%. Then I layered it on top of the blank background.
Click the image for more detail; notice the sharp backgrounds seen through the ghosts.