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You could try the Threshold Adjustment. Choose a threshold that will separate your dark grey from the lighter greys of the background.  There is no guarantee that this will work,  but if it does, it is probably be more efficient than other methods.

John

Windows 10, Affinity Photo 1.10.5 Designer 1.10.5 and Publisher 1.10.5 (mainly Photo), now ex-Adobe CC

CPU: AMD A6-3670. RAM: 16 GB DDR3 @ 666MHz, Graphics: 2047MB NVIDIA GeForce GT 630

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If possible, try to get better images. The example you uploaded shows strong jpeg compression artifacts. This makes it 10x harder to achieve good results. The overall contrast is extremely low. 
 

These 2 issues alone will cost you so much time.

Any chance to scan the microfilm again?
Any chance to get non compressed images (no jpeg, use tiff or png with lossless compression).

Mac mini M1 A2348

LG34WK950U-W, calibrated to DCI-P3 with LG Calibration Studio / Spider 5

iPad Air Gen 5 (2022) A2589

Special interest into procedural texture filter, edit alpha channel, RGB/16 and RGB/32 color formats, stacking, finding root causes for misbehaving files, finding creative solutions for unsolvable tasks, finding bugs in Apps.

 

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Below my try with focus on making fine details like test visible and boost overall contrast.

  1. blur 0.1px Gaussian to remove compression artifscts
  2. a level adjustment to equalize histogram (blacks, and gamma)
  3. select huge rectangle on left side, copy as pixel layer
    1. add motion blur
    2. set blend mode of pixel layer do divide
    3. stretch via move tool to cover full area
    4. this helps to remove overall horizontal color pattern, better contrast 
    5. i duplicated the layer and reduced opacity to increase effect
  4. Add highways filter to boost details
  5. add unsharp mask to bist details. Both will increase background noise, but the text become readable. If you have time, apply sharpening via mask selectively to fine details

image

52BF5AEB-9537-4F49-91B6-5CA7DAFF708C.thumb.png.5ebb5dfe78584e1055d4a7cf4e6e0daf.png

Mac mini M1 A2348

LG34WK950U-W, calibrated to DCI-P3 with LG Calibration Studio / Spider 5

iPad Air Gen 5 (2022) A2589

Special interest into procedural texture filter, edit alpha channel, RGB/16 and RGB/32 color formats, stacking, finding root causes for misbehaving files, finding creative solutions for unsolvable tasks, finding bugs in Apps.

 

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Another approach (without pixel selection / mask / brush). Since dark gray in background & drawing are partially identical it appears impossible to remove the grain only without affecting the drawing. (… unless you add motive related masks, which I assume you want to avoid)

5222354_microfilm2.thumb.jpg.5f553c291833110316ee345835429ce7.jpg

macOS 10.14.6 | MacBookPro Retina 15" | Eizo 27" | Affinity V1 only

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Another method, quite a quick method with minimal work, ultimately it's how you would like the microfilm to end up looking.

  • Duplicate the background layer and change the duplicate layer to Blend Mode: Reflect
    image.thumb.png.3ba900b894a7d99f305243de3547b400.png
  • Right Click on the duplicate layer and select Merge Visible
     image.thumb.png.d13c341b115aff97e03e9f1af2f81dbe.png
  • Paint over the remaining marks white a white brush.
    image.png.0e012735a6b05c581f9c0d623dfb7cbc.png

Took me less than 3 mins to do, yup I timed myself lol!

image.jpeg.8fb128b367fa412682a03bcd12d5261c.jpeg

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