Although you have been convicted of certain crimes, and they are recorded in your criminal background, what matters is how these crimes behave in the Portuguese legal system. In this case, these types of crimes disappear from the criminal record after five years, so at this point, 44 years have passed since the date of conviction; Portuguese law considers that you no longer have a criminal record. You will not have any problems with your golden visa.
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Position of fire alarm / shoplifting
I'd like to buy property and retire in Portugal. However, I have previous criminal convictions from 44 years ago involving a weapon and shoplifting. I was found guilty of the weapons charge and was fined for the shoplifting. Can this affect my golden visa options?