1967 starter date code question.

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Should the starter for my 67 L36 be dated <span style="font-weight: bold">before</span> the engine assembly date?? Or was the starter installed later on when the car was going down the assembly line?? The assembly date on my motor is may 23 1967, I bought a june 17 1967 starter. The car was built july 11 1967. I'm wondering if I got the wrong date? Thanks.