The premise of reducing crime rates in urban environments is hardly conceivable, understanding not these situations and conditions.
Does it simply mean:
without comprehending some situations and conditions, we can't reduce crime rates.
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Yes your second quote seems to be an accurate interpretation.
It is possible that the first sentence is grammatically correct, but it sounds pretty horrid and would never be used in spoken English (its similar to Yoda-speak).
and removing the comma would convert it into everyday English.