Drawing line against the Catalan

Looked at it a bit in first chapter of Bologan's book now, and didn't see much that was attractive for black. The normal convention is Author's put least problembatic chapter's first, and within chapter least critical varations first. Bologan covers 1.d4 d5 2c4 e6 3Nf3 Nf6 4g3 be7 5bg2 0.0 60.0 pxp 7Qc2 a6 etc last, and has the most number of pages attempting to show something for white. So chould interpret that as his recommendation for the "drawing line".

I don't think there is such a thing as a drawing line against the Catalan.

So, can you please someone show me a line where white gets even the tiniest of advantages after 6.0-0 dc4?

I know none, and I'm about to give up on playing it as white in correspondence chess.

The Bishop is inferior on d6 compared to e7 in the Catalan.  Especially if Black plays for the e5 push, this can lead to bigger problems with the IQP for Black with the Bishop on d6 compared to e7 after White trades on d5.

Specifics on this can be found in Chapter 1 of Volume 1 of Wojo's Weapons, which is basically the Closed Catalan without Bb4+.

Nah, not. Inserting Bb4+ before Bd6 is a good, but not-so-necessary subtlety.Black may employ it to avoid 1.d4 d5 2.c4 e6 3.Nf3 Nf6 4.g3 c6 5.Bg2 Nbd7 6.0-0 dc4 7.a4, but Black is rather comfortable after that.

Ippolito's book is (generally) better than Avrukh's, yet he fails to cover this line at all. Add to that his suggestion on the open 6...dc4 7.Ne5, which offers white absolutely nothing...

Actually, his suggestion offers a lot for White, and it has revived the 7.Ne5 line.  The 7.Ne5 line got the bad reputation from the fact that in the 7...Nc6 line, White would take with the wrong piece.  He should take with the Bishop, not the Knight.

I actually had a 7.Ne5 Catalan in the 8th round of the US Open on Saturday, and had a completely won position in the early 20s just to Blunder on move 24 or 25 (don't have the scoresheet on me right now, so don't recall the "exact" move number).  I had two ways to win a piece.  I chose the wrong one because of a tactical oversight that allowed Black to infiltrate to my 2nd rank and win 2 pawns in return for the Knight.  The game ended in a draw later on.  But if I win the piece in the other fashion, I had Black completely dead by 25 moves, and so clearly the opening isn't why I only drew!

The other possible lines for Black all give White the same small advantage he gets for playing 7.Qc2.

Ha, ha! 

Black should answer 7.Ne5 with 7...Nc6 if he wants to win, but 7...c5 is perfectly adequate.

Down to white's 16th move, Ippolito's recommendation. Black is under "an unpleasant pin" according to the author, while in reality white has absolutely nothing.

 I just cannot play all that nonsense in a correspondence game if I want to win. The problem isn't that Black is equal (this is of minor importance), but rather the fact he is not under any pressure.