Do all Chanel bags have a serial number?

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Tags

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2. #handbags
3. #appears
4. #chanel
5. #embossed
6. #found
7. #serial
8. #cards
9. #sticker
10. #original
11. #1980s
12. #accompanied
13. #handbag
14. #within
15. #match
16. #authenticity
17. #somewhere
18. #number
19. #interior