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.