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Crip659 asks a great question above. Is the "sand" in the water from the municipal source (which would explain its presence in three difference residences), or is it purely local to your current house (which would suggest degrading pipe(s) between the meter and the house).
The answer will also depend on the terms of your rental agreement (even if oral, and not written down) and on the law that applies to this rental property.
You're considering spending $unknown for a new control board, which may fix the problem. Even if it works, you'll then have a 14-year-old-machine which might develop other maladies because of its age. The alternative is to spend something >$unknown for a new machine, which will fix the problem. Your choice...'tho the latter may be better for your domestic relationship.
This is a good approach. Because part numbers are often changed, it can be worthwhile to read the Q&As that accompany the listings: sometimes the Q&As will specifically state that new part number X is a directly replacement for (as in your case) previous part number 41131275.
Thanks for the pics. Better practice here, however, would be to insert the pictures directly into your question, so the viewer does not have to navigate to another location and the pictures will remain visible with the question. To do that, click on the "Edit" button below your question, then press the "Moon and Mountains" button on the text edit page that follows.