Race Comment Explainer

Original comment with matches highlighted:

towards rear, closed up into 3rd 2 out, fa, pushed along after 2 out, run-in

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.
home turn	This is the final bend or corner of the track, just before the horses enter the final straight run to the finish line.
Faded	The horse lost speed and dropped back through the field.

Summary

The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Running near the back of the field.
This is the final bend or corner of the track, just before the horses enter the final straight run to the finish line.
The horse lost speed and dropped back through the field.