The term is used any time your shutter is synced at a speed to allow ambient light to expose all or part of the image, in addition to your flash. Remember that a flash only fires for the briefest of moments, no matter what your shutter speed is, that doesn't change... the only thing that affects the amount of light from the flash in your exposure is your aperture (the more wide open, the more light.. the less wide open, the less light.. FROM THE FLASH).
For instance, you have a scene in a living room.. someone sitting next to a lamp. Shoot that scene with a flash and the highest shutter speed you can manage with the flash, and the lamp will appear to be turned off in your photo because the shutter wasn't open long enough to see the lamp... but bump that shutter down.. make it slower.. such as the 1/30th or less that someone suggested above and the lamp appears to be on. Since the flash "froze" your subject for its brief instant, they will be fine if they move slightly at this slower shutter.
Here's an example I shot of my daughter a few years ago in front of Christmas lights.. this was shot on a tripod with a shutter of about 1 second.. aperture was about f/8.0.. she was told to stand as still as possible.. but you know she wasn't perfect for an entire second.
