Race Comment Explainer

Original comment with matches highlighted:

handy, chased front pair after 4 furlongs, pushed along over 3f out, but no impression

Matched phrases & meanings

Phrase	Meaning
Pushed along	The jockey started to urge the horse (hand-riding, not necessarily using the whip).
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).
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).