Race Comment Explainer

Original comment with matches highlighted:

slowly away, towards rear, pushed along under 3f out, final ,

Matched phrases & meanings

Phrase	Meaning
Pushed along	The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Towards rear	Running near the back of the field.
Never nearer	The horse's closest point to the leader was the position it finished in (ran on late).
Stayed on	Continued to finish but without closing the gap significantly.
Furlong	Unit of distance; one furlong is 1/8 of a mile (approx. 200 meters).

Summary

The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Running near the back of the field.
The horse's closest point to the leader was the position it finished in (ran on late).
Continued to finish but without closing the gap significantly.
Unit of distance; one furlong is 1/8 of a mile (approx. 200 meters).