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Is it fair to say, though, that as a competitor, you are always entitled to stand in a line with your own ball or mark, even if it is very close to the competitors? (a respectful distance back, of course). Or ....... must you always stand to the side regardless?
If standing behind your ball would put you on the line behind your playing partner's ball, then you should be putting first as that would mean your ball is furthest from the hole.
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And a follow-up ------ can you move once the ball has been stroked?
Yes. Pay attention to the pros and you will notice that they do this whenever they have a putt on a similar line.