Race Comment Explainer

Original comment with matches highlighted:

soon pushed along t, tailed of, 3f out,

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.
tailed off	A definitive statement that the horse was finished and effectively out of the race
lost touch	The horse was struggling severely and the jockey was losing hope

Summary

The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Running near the back of the field.
A definitive statement that the horse was finished and effectively out of the race
The horse was struggling severely and the jockey was losing hope