>newString = EMPTY
>repeat with i = 1 to tLines
>  aLine = tText.line[i]
>  --modify aLine
>  put aLine after newString
>end repeat

Well, you can speed that up by always operating on the first line of 
tText, as in:

newString = EMPTY
temp = tText
repeat with i = 1 to tLines
  aLine = temp.line[1]
  --modify aLine
  put aLine after newString
  delete line 1 of temp
end repeat
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