Losing your mucus plug doesn't necessarily mean labor will start soon.
I lost my mucus plug almost 3 weeks before I went into labor. The mucus can actually regrow so technically you can lose it multiple times without officially going into labor.
Some women don't notice losing their plug because it come out a bit at a time. Others lose it all at once in a disgusting blob, and others don't lose it until they're in the thick of labor!