Determining final number - given 5, 13, 28, 42 and 44

Basic information

        Balls drawn         Richard's success
# 9     07 17 23 32 38 42   second ticket: no matches
#12     01 07 37 38 42 46   two matches, one off by two

Numbers 5 13 28 42 and 44 selected
Choose one from 34 37 46 48

The net closes

That was the state of play after lottery 9. The next two draws had no luck for Richard, and hence I could make no additional progress. However, with lottery 12, the missing information was provided.

Lottery 12

We already know 42 is one of Richard's numbers (giving one match), and 7 will provide the near miss (being two off 5). The other exact match must therefore be either 37 or 46.

However, Richard had a second ticket for lottery 9, with no matches. If 37 was one of his main selection, this would imply 38 on his second ticket, giving him a match. This rules out 37.

Final numbers

Hence, Richard's numbers are:

5 13 28 42 44 46

I'll repeat that:
[05 13 28 42 44 46]

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