What is the cause for my vehicle to constantly pull/veer to the left? on 2005 Honda Accord

Most evident (1) when stopped, then accelerate (2) press brake to stop at any speed (3) when driving (high or low speeds) constantly have to overcompensate right due to left pull/veer. I have had three different repair shop perform alignments (including Honda) and same problem. The vehicle was in a "near total" front-end collision several years ago. I took the car back to the collision repair shop and they could not find problem either. I would really like to drive my car in a straight line, please help!

Asked by for the 2005 Honda Accord
near total cars always have some issues like this, u may have a slightly bent frame still.if its still under warranty at body shop have them recheck frame
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Have the front brakes been inspected ? possible front brake hose , that upon first visual inspection , seemed okay , but has failed internally causing a caliper (in this case , the left?) to 'stick'. ...Does the symptom change at all , if tires are rotated? Is steering wheel off-center? Not dealing with 'road crown'? .......... How many pairs of tires have you gone through since the accident?