Because Afrikaans verbs usually do not change for different subjects in the present tense.
So you get:
This is much simpler than English, where you have I avoid but he avoids.
Geweld is the direct object of the verb vermy.
In this sentence, it refers to violence in general, so there is no article.
Compare:
Because geweld is being used in a general, uncountable sense, no die is needed.
A simple English-friendly approximation is:
ons fer-MAY khə-VELT
A few helpful notes:
If you want a rougher learner-friendly version, Ons fer-MAY ghe-VELT is good enough to start with.
You usually make it negative in Afrikaans with nie ... nie:
Ons vermy nie geweld nie.
This means We do not avoid violence.
Afrikaans commonly uses a double nie pattern:
That double negative structure is very important in Afrikaans.
The difference is general versus specific meaning.
So:
English does the same kind of thing:
Yes, it can, depending on context.
Afrikaans often uses the simple present where English might use either:
If you really want to emphasize an action happening right now, Afrikaans can use other structures, but the plain sentence Ons vermy geweld is perfectly normal and often enough on its own.