You can buy a TPMS training tool ($20 on eBay) and then put your expedition into learn mode (this is actually documented in the owners manual) and have it re-learn the sensors, but it much easier to go to a local tire shop and pay $10 to have them do it. It takes less than 5 minutes to relearn the sensors when you have the necessary tools.
You may also want to check that your expedition and the f150 wheels use the same frequency, ford changed TPMS frequency on the f150 and then the expedition a year or 2 later, so you might find that the sensors in your wheels are not compatible with your expedition, which means you will need to remove the TPMS in your old wheels and fit them in the new f150 wheels. If you know what year f150 the wheels come from, you can do a quick search to see what frequency TPMS that year of f150 used and then look at the frequency of the replacement units for your expedition use. If they have the same frequency then you are good to just re-learn the f150 wheels.