Race Comment Explainer

Original comment with matches highlighted:

handy, pushed along and f out, k over 3f out, ridden 2f out, final

Matched phrases & meanings

Phrase	Meaning
Pushed along	The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Outpaced	Could not keep up with faster horses mid-race.
Kept on	The horse maintained its speed well to the finish.
Furlong	Unit of distance; one furlong is 1/8 of a mile (approx. 200 meters).
Handy	Running very near the leaders (usually 2nd, 3rd, or 4th).

Summary

The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Could not keep up with faster horses mid-race.
The horse maintained its speed well to the finish.
Unit of distance; one furlong is 1/8 of a mile (approx. 200 meters).
Running very near the leaders (usually 2nd, 3rd, or 4th).