Race Comment Explainer

Original comment with matches highlighted:

held up in touch, pushed along and improved into third over 1f out,

Matched phrases & meanings

Phrase	Meaning
Pushed along	The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Stayed on	Continued to finish but without closing the gap significantly.
One pace	The horse maintained its speed but could not accelerate or quicken.
Held up	Intentionally raced patiently at the back to save energy.

Summary

The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Continued to finish but without closing the gap significantly.
The horse maintained its speed but could not accelerate or quicken.
Intentionally raced patiently at the back to save energy.