[Don Corleone]

American Pharoah makes 2nd start after taking Triple Crown in today's Travers at Saratoga.

The triple crown was not won in today's Travers at Saratoga.

See the difference?

[ETL]

Not really.

Because if I had wrote it either of these ways,

American Pharoah makes 2nd start (after taking Triple Crown) in today’s Travers at Saratoga.

Or,

American Pharoah makes 2nd start, after taking Triple Crown, in today’s Travers at Saratoga,

it would mean “after taking Triple Crown” could be removed from the sentence and it would still make sense. But it wouldn’t make sense with it removed.

ie, American Pharoah makes 2nd start in today’s Travers at Saratoga