Race Comment Explainer

Original comment with matches highlighted:

raced in second, pressed leader 4 out, led before 2 out, asserted after last, well,

Matched phrases & meanings

Phrase	Meaning
Pressed leader	Applied pressure to the horse in front.
readily	The horse won easily, without having to be pushed to its absolute limit, suggesting it had more to give.
Ran on	The horse maintained or increased its speed in the final stages.

Summary

Applied pressure to the horse in front.
The horse won easily, without having to be pushed to its absolute limit, suggesting it had more to give.
The horse maintained or increased its speed in the final stages.