To determine which statements are true regarding the divergence of electric and magnetic flux densities, let's first define them in the context of Maxwell's equations:

1. **Divergence of Electric Flux Density (\(\mathbf{D}\)):**
  - \(\nabla \cdot \mathbf{D} = \rho_v\)
  - This is Gauss's law for electricity, which states that the divergence of the electric flux density (\(\mathbf{D}\)) is equal to the volume charge density (\(\rho_v\)).

2. **Divergence of Magnetic Flux Density (\(\mathbf{B}\)):**
  - \(\nabla \cdot \mathbf{B} = 0\)
  - This is Gauss's law for magnetism, which states that the divergence of the magnetic flux density (\(\mathbf{B}\)) is always zero. This implies that there are no magnetic monopoles, and magnetic field lines are closed loops.

Given these definitions, the following statements are true:

- **The divergence of electric flux density is equal to the volume charge density** (\(\rho_v\)).
- **The divergence of magnetic flux density is always zero.**

If you have specific statements in mind, feel free to share them, and I can help evaluate their correctness based on the above principles.