The concept remains the same.Its just that there is an equal and opposite frictional force acting on the horse, between the horse and the surface on which it moves.
Thats it.
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Can you please elaborate?
the horse and the cart are pulling with equal force in opposite direction. but the cart does not apply any force on the ground, the horse applies force on the ground which helps it pull the the cart by gaining extra force in vertical direction from the ground
Because action and reaction are equal in magnitude but opposite in direction