The fix in both recalls will see dealers replace the left- and right-hand rear suspension toe links with new forged units and re-align the suspension.
Ford said the problem increases the risk of a crash.
Ford is not aware of any reports of accident with the F-150.
The recall will affect more than 1.2 million vehicles.
Affected vehicles in that recall include the 2009 through 2015 Lincoln MKS; 2009 through 2017 Ford Flex; and 2010 through 2017 Ford Taurus and Lincoln MKT if built in the company's Chicago or Oakville, Ontario plants and sold in Alberta, Manitoba or Saskatchewan.
All of the vehicles that are part of the recall were built at Ford's Chicago Assembly Plant from May 17, 2010 - January 25, 2017.
The model: The vehicle manufacturer has issued a recall on select 2011-2017 Explorers, specifically those built in the Chicago Assembly Plant between May 17, 2010 and January 25, 2017.More news: Man City fans in epic meltdown after Premier League puts Liverpool first
More news: British lawmakers reject opposition move to block no-deal Brexit
More news: Wendy Williams isn't bothered that new boyfriend is an ex-convict
The reference number for the recall of Ford Explorers is 19S17. A previous software update didn't work.
The second recall - for select 2013 Ford F-150 vehicles equipped with 5.0-litre and 6.2-litre gasoline engines - affects approximately 15,200 vehicles in Canada and another 107,850 in the United States. If traveling at a high speed, this downshift could be risky and lead to a loss of control.
Depending on vehicle speed, an abrupt transmission downshift to first gear without warning could result in loss of vehicle control, increasing the risk of a crash, the Ford announcement said.
Affected vehicles were built at the Dearborn Assembly Plant from May 7, 2012 to October 27, 2013, and the Kansas City Assembly Plant, April 18, 2012 to November 18, 2013.
Vehicles that did not undergo the 19S07 reprogramming are not affected by the current recall and will receive updated software under the existing 19S07 program, Ford said. And it is recalling 4,300 Ford Econoline vehicles from model years 2009 to 2016 which are used as ambulances or school buses. A substandard weld may fatigue and fail, causing an elevated rate of reports of the loss of the ability to move in the subject vehicle applications.
Dealers will replace the coast clutch cylinder and the single-engaging coast one-way clutch with a dual-engaging one-way clutch. They have a similar problem with their toe links.
For more information on the recalls, check the Ford website.