Speedmaster 3510.50 without serial number

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Hello all-- I am looking to buy a Speedmaster 3510.50, but there from the pictures there does not appear to be a serial number. According to the seller the number "faded due to repolish/buffing". Is this a common thing? Is it worth a savings of 200 or 300 bucks?
 
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They do get polished off as its on the caseback of those, what's the total price you're looking at paying?
 
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They do get polished off as its on the caseback of those, what's the total price you're looking at paying?
Around 1050USD.
 
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Is it in good working order? They can be pricey to service
 
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Is it in good working order? They can be pricey to service
"Functioning" is all it says...
 
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Is this a dealer or ebay?
 
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Is this a dealer or ebay?
So it's kind of strange. It's a Japanese ebay dealer called "elady" that seems to have an excellent rep, but they also have a website with a few pieces not listed on ebay, which is where I found this one.