We have spent tons of time and money eradicating the results of smoking from properties.

And the combustion engine eradicated the horse as a prime mover of individuals and most goods.Where are all the horse jobs now?

Tenant agrees to pay for damages and pest eradication if pest infestation occurs as a result of their action or inaction.

Often this stuff can be easily eradicated with a combination of bleach and water or (better yet) hydrogen peroxide mixed with some water.And, as Adrienne has mentioned, the stuff in the kitchen can be caused by cooking methods of tenants. 

But, we can't eradicate ghetto mentality 100% across society.

Their goal was to eradicate the colony.

Hire a professional pest management company to eradicate the cockroach problem.

You had a water leak, and removed the materials but from the sound of this, you have a mold/mildew problem, and need to address this before sale.Otherwise you knowingly passed on a problem.This must be eradicated or you may well have a legal issue on your hands as well.

Bed bugs are remarkably resilient and a standard winter would probably not be enough to eradicate the problem in my opinion.  

Waited a few months, no roaches, and I didn't call them back.Bottom line, roach eradication is a long grind, not a quick shock and awe treatment.