A quick shot of my 165.024, 24j cal 550
Here's a link to info on difference in movements.
http://chronomaddox.com/moonwatch_cal_background.html
To my knowledge, only the 145.022's in 1968 used the applied silver logo dial. I have only purchased/seen 145.022-69's with painted logo.
Too me, the stepped dial refers to the raised minute track of the main dial. The sub-dials are sunk on models up to around the early-mid 70's.
The model you're looking for won't be terribly difficult to find, but you will as always pay for condition of dial/hands/bezel. You will likely pay up to a $700, premium for a period correct 1039 flat full 26 link bracelet that is not stretched/worn out. Many collectors think these are too flimsy, but I like the originality and find them to be quite strong.
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