Bane with malevolence and ailments

I was looking to buy a watchers eye with either the malevolence mods I am confused do both benefit bane I don't understand the damage ailments and Non-Ailment Chaos Damage over Time Multiplier is one only trigger for attack skills and the other the overtime dmg?

Damaging Ailments you inflict deal Damage X % faster while affected by Malevolence

+X % to Non-Ailment Chaos Damage over Time Multiplier while affected by Malevolence

Ailments in PoE are very specific things:
Bleed, Poison, Ignite, Chill, Freeze, Shock, Scorch, Britlle, Sap.

Of these, the 'Damaging ailments' are:
Bleed, Poison and Ignite.

So your first W.E. (Damaging Ailments you inflict deal Damage X % faster while affected by Malevolence) will affect any poison/bleed/ignite damage you do while affected by Malevolence.

Your second W.E. is referring to Chaos damage you cause that is NOT an ailment. Of the three damaging ailments I listed, only Poison does chaos damage over time. Bane does not poison/bleed or ignite. So it is 'non-ailment chaos damage over time' and will be affected by the second W.E but not the first one.

Hope that helps.

~Myth

Its Very Simple at all^^

Soulrend "applies a short but powerful chaos damage over time DEBUFF"

Bane "Applies a debuff to enemies in an area" damage are DEBUFFS"

Both applies a debuff to the enemy and no Ailment.
So any modifications to Ailments does not work.