Longer than that, unfortunately. :-(
Berghia are "pack hunters" - their colony size must be large enough to overwhelm the aiptasia that they eat. If you just added in some, then what you've done is started your colony. The ones in the tank now have the job of reproducing, basically - not ridding your tank of aiptasia. As the colony grows, they will begin eating away at the aiptasia you can't see (the ones hidden in the rocks). As the colony grows larger, they will eat that supply and move on to swarming the outer (generally larger) ones that you can see.
That process can take months. It'll work, but (like most things in this hobby), it takes patience. You could very well go weeks without seeing a single nudi doing anything; but so long as you seeded enough in originally for them to find each other and procreate, they are still there.