I am not sure I correctly understand what you are asking, but I tried the following:
fox = "The quick brown fox jumped over the lazy dog. ";
longFox[n_] := StringJoin[Table[fox, {n}]]
long = longFox[10];
StringLength[long]
460
pw = CurrentValue[EvaluationNotebook[], "PageWidth"];
CurrentValue[EvaluationNotebook[], "PageWidth"] = 300 72;
Print[Style[InsertLinebreaks[long, 240], "Text"]];
CurrentValue[EvaluationNotebook[], "PageWidth"] = pw;
I then copied and pasted the the contents of the Print cell produced by the code into my text editor and the results were two lines of text, the 1st being 239 characters long and 2nd being 220 characters long.
I did this with V10.3.0 running on OS X 10.10.2. I state this because what happens with copy and paste may have OS dependencies.
This seems rather cumbersome to me, so I wouldn't be surprised that if somebody came up with a simpler method than this. Something based on Export might be such a simpler approach, but I did not explore in that direction because you seem to be specifically asking for something that works with copy and paste.
Update
Here is code using Export that I think will work with V.9.
makeLine[max_, size_: 0, line_: {}] :=
Module[{word, chars = size,},
If[Length[words] < 1, Return[StringRiffle[line]]];
word = First[words];
chars = size + StringLength[word] + 1;
If[chars > max, Return[StringRiffle[line]]];
words = Rest[words];
makeLine[max, chars, Append[line, word]]]
makeLines[s_String, max_Integer: 78] /; max > 0 :=
Block[{words, lines = {}},
words = StringSplit[s];
If[Max[Length /@ words] > max, Return[{s}]];
While[Length[words] > 0, AppendTo[lines, makeLine[max]]];
lines]
Export[
FileNameJoin[{$HomeDirectory, "Desktop", "long.txt"}],
makeLines[long, 240],
"Lines"]
The Export expression writes the long string out to the desktop as two strings, the 1st being 239 characters long and 2nd being 220 characters long.
Export, for which thank you. – jdaw1 Jan 01 '16 at 17:19Export["filePathAndName.txt", longString]exports the string to a file without the wrap-at-72 characters: progress, thank you. – jdaw1 Jan 01 '16 at 17:35InsertLinebreaksarrived with V10.1. That's why I thought it important to mention the version I was running. – m_goldberg Jan 01 '16 at 22:04