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There is no conversion into non crits. Resilience simply gives you a (insert your -crit% here) % chance on a normal hit to proc anything that usually only procs when you take a crit.
Say you have -10% crits through resilience, 2/2 Martyrdom, 1/3 Blessed Recovery, 3/3 Blessed Resilience:
Whenever you are crit, Martyrdom procs 100% of the time, Blessed Recovery 100% of the time and Blessed Resilience 60% of the time.
Whenever you take a normal hit, Martyrdom will proc 10% of the time, Blessed Recovery 10% of the time and Blessed Resilience 6% of the time (since it's only 60% even on crits).
You can proc one, two or even all three of these effects on a normal hit. The odds are just pretty low to get all three at once.
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