Hi [USER=140231]@Maris[/USER]
I agree with @[ iLLuSioN ] that the a much better scanner version of the image should be used and preferable not in JPEG as that introduces artifacts along all edges that makes it harder.
I partially simulated a better image by putting the JPEG through Topaz Gigapixel at 1X and output as TIFF
Here is an approach using Content Aware Fill that I found worked pretty well with few artifacts (at least in the first three lines I tried). Here are the steps
Above the starting image add a blank Layer. On the blank Layer I used a pencil drawing over the line with about a 4 pixel width. I did this on the first three lines.
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Here is the image with the blue lines drawn and the image Layer turned off
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You can Cmd Click on the Layer Thumbnail of the drawn blue Line Layer to create a selection around the drawn lines. I turned off visibility of the blue line Layer and turned on (and selected) the original image Layer
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I used Edit > Content Aware Fill with the settings shown in the following image:
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I accepted the results and below is the saved image as a high quality JPEG. By my eye there is not much retouching required.
Just one of many ways to consider for the approach.
John Wheeler
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