If there is anything to do with moisture (roof or plumbing leaks) those should also be taken care of quickly.  

With mold, it needs moisture.

Whenever a roof surface abuts a vertical wall, moisture intrusion that may lead to damage and rot becomes a risk at the intersection.

The duplex needs a new roof, new windows, update with the electrical outlet, it has termites and moisture damage (possibly molds) among some other things.

Tenants love the 'hypo-allergenic' flooring--usually solid vinyl planking, although a good quality laminate, properly installed with underlayment/moisture barrier works nicely. 

Regular laminate is durable but can get damaged by moisture. 

Does it sit on clay and it is contained or is it really earthy soil where the oil can penetrate deep, also is the property close to water or a downspout where it is being projected over a large area?

Tenant agrees to allow Landlord timely access to premises to do maintenance and repair.Tenant will notify Landlord in a timely manner of any damages or problems as they arise, including damages caused by Tenant, malfunction of appliances or fixtures, and water/moisture leaks and spots.Tenant will take care of the premises, keeping them clean and clear of debris.

This includes, but is not limited to, repairs to the following items not caused by Tenant or Tenant’s negligence: Heating and air conditioning systems; Water heaters; or Water penetration from structural defects.ii.

In this section I provide my name and number (I manage all 5 SF rentals myself, remember) along with a statement which reads "Tenant will pay Landlord the first $250.00 of the cost to repair each conditiono in need of repair, and Landlord will pay the remainder, except for the following conditiosn which will be paid as follows:..." and then it goes on to discuss 4 conditions which are "Landlord negligence", "wastewater stoppages caused by roots/malfunctioning equipment", "health/safety issue not caused by Tenant or guest of Tenant", and "heating/AC, water heaters, water penetration".