Excessive dirt on the print film raw stock will show up as white specks on the processed prints.
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John P. Pytlak, Senior Technical Specialist
Worldwide Technical Services, Entertainment Imaging
Research Labs, Building 69, Room 7525A
Rochester, New York, 14650-1922 USA
Tel: 585-477-5325 Cell: 716-781-4036 Fax: 585-722-7243
E-Mail: john.pytlak@kodak.com
Web site: http://www.kodak.com/go/motion
Yes. Most of the release printing labs now use on-line Particle Transfer Roller (PTR) film cleaners (developed by Kodak) on the printers, which has greatly improved the cleanliness of release prints. But an excessive amount of dirt on the print raw stock can still leave some dirt to cause the white "shadow images". KODAK VISION Color Print Film and the new technologies Kodak uses to slit and perforate film have greatly improved the cleanliness of Kodak print film, much to the satisfaction of distributors and labs. 
http://www.kodak.com/US/en/motion/products/lab/2383.shtml
http://www.kodak.com/country/US/en/motion/newsletters/reel/september98/visionFilms.shtml
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John P. Pytlak, Senior Technical Specialist
Worldwide Technical Services, Entertainment Imaging
Research Labs, Building 69, Room 7525A
Rochester, New York, 14650-1922 USA
Tel: 585-477-5325 Cell: 716-781-4036 Fax: 585-722-7243
E-Mail: john.pytlak@kodak.com
Web site: http://www.kodak.com/go/motion
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- dave
Look at this! His chin strap has been cut!
White "spotches" may be water marks, splashes, or some other problem that got on the negative and could not be removed by the lab.
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John P. Pytlak, Senior Technical Specialist
Worldwide Technical Services, Entertainment Imaging
Research Labs, Building 69, Room 7525A
Rochester, New York, 14650-1922 USA
Tel: 585-477-5325 Cell: 716-781-4036 Fax: 585-722-7243
E-Mail: john.pytlak@kodak.com
Web site: http://www.kodak.com/go/motion
Much depends upon how carefully the lab handles the duplicate negative, and the type of printer being used. Although the printing negative is solvent cleaned before loading the printer, most labs rely on Particle Transfer Roller (PTR) film cleaners to clean the film while it is being printed, so runs of many hundreds of prints are possible before the printing negative is pulled from production to be solvent cleaned.
Last year, Kodak introduced a new intermediate film for making master positives and duplicate negatives. KODAK VISION Color Intermediate Film 2242 features a more robust film structure and a conductive antistat that makes the printing negative more resistant to wear, and much cleaner during extended production runs:
http://www.kodak.com/country/US/en/motion/products/lab/5242.shtml
http://www.kodak.com/country/US/en/motion/products/lab/tech5242.shtml
http://www.kodak.com/US/plugins/acrobat/en/motion/products/change/kn1dec2001.pdf
Today, making thousands of prints from a single 2242 duplicate negative would not be unheard of.
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John P. Pytlak, Senior Technical Specialist
Worldwide Technical Services, Entertainment Imaging
Research Labs, Building 69, Room 7525A
Rochester, New York, 14650-1922 USA
Tel: 585-477-5325 Cell: 716-781-4036 Fax: 585-722-7243
E-Mail: john.pytlak@kodak.com
Web site: http://www.kodak.com/go/motion
The lab usually does not specify the brand of print stock, and do the best they can with what they are told/contracted to use by the distributor. "Excessive" white dirt is a subjective judgement. Here are the Lucasfilm Theatre Alignment Program (TAP) print guidelines:
http://www.thx.com/professional_services/labgrad.pdf
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John P. Pytlak, Senior Technical Specialist
Worldwide Technical Services, Entertainment Imaging
Research Labs, Building 69, Room 7525A
Rochester, New York, 14650-1922 USA
Tel: 585-477-5325 Cell: 716-781-4036 Fax: 585-722-7243
E-Mail: john.pytlak@kodak.com
Web site: http://www.kodak.com/go/motion
My print was not like that. I'd try to get a replacement if I were you.