Hi Gerald,
C4.1.3.1 gives a little insight to the paragraph 4.32.1.3. (Also see Paragraph 4.1.3.1 where it originally references paragraph 4.32.1)
Basically if the period of effectiveness has lasped, you could re-instate the welder's qualification if the welder passes the same test on 3/8" material vs making the welder test again on 1" material....at least that is what I get out of reading that...