When you switch from P-tires with pressure needed for the maximum load of 35 psi ( so is not the maximum pressure of 44psi written on sidewall ) to LT with pressure needed for the maximum load of 80 psi ( wich is written on the sidewall but is also not the maximum pressure of tire), you need higher pressure for the same load then the P-tire.
I estimate it to be even 10 psi higher, so 30psi old car advice +10 psi = 40 psi.
but you have to calculate it with my motorhome-tire-pressure-calculator.
Because the speed wont be higher then 99m/h you can use it.
If your back tires have a camber-angle of more then 2 degrees, wich you have to look up in the alignment data, that 80 psi has to be highened up with a system depending on the speedcode of the tire ( Q stands for up to 160km/99m/h maximum tire speed)
This maximum speed of tire has to be higher or the same as the technical maximum car speed by european law, dont know if America uses that law too.
So try to find that maximum speed of car and compare.
If your technical maximum speed of car is only 2 miles higher then that of the tires, by law you are not allowed them on your car.
Exception ( in Europe) is winter-tires, wich if lower speed it has to be warned for on the dashboard and only allowed between october and april.
But I asume the tire-specialist that fitted your tires, knows all this, and to my opinion fitting tires that are allowed on your car and rimms is their responcibility. That wont say that it cant be wrong, misyudgements are made even by specialists.
so look it up, and also about the maximum ( cold) pressure of your rimms or maximum load of your rimms, and determine if you have tires that are allowed on your car and rimms.
If you give the tire and car data here , I will calculate the needed pressure for you, regardless of if the tires are allowed on the car and rimm.