The paper explores the connection between mixed-state entanglement and 't Hooft anomalies in lattice systems with anomalous symmetries. Specifically, it shows that any strongly symmetric mixed state under an anomalous symmetry group \( G \) is necessarily \((d+2)\)-nonseparable, meaning it cannot be expressed as a mixture of tensor products of \( d+2 \) states in the Hilbert space. This nonseparability is long-range in nature, as such states cannot be prepared from any \((d+2)\)-separable states using finite-depth local quantum channels. The authors provide proofs for \( d \leq 1 \) and plausibility arguments for \( d > 1 \). They also discuss examples of intrinsically mixed quantum phases and mixed anomalies involving both strong and weak symmetries. The work highlights the importance of understanding the relationship between quantum anomalies and multipartite entanglement in the context of mixed states.The paper explores the connection between mixed-state entanglement and 't Hooft anomalies in lattice systems with anomalous symmetries. Specifically, it shows that any strongly symmetric mixed state under an anomalous symmetry group \( G \) is necessarily \((d+2)\)-nonseparable, meaning it cannot be expressed as a mixture of tensor products of \( d+2 \) states in the Hilbert space. This nonseparability is long-range in nature, as such states cannot be prepared from any \((d+2)\)-separable states using finite-depth local quantum channels. The authors provide proofs for \( d \leq 1 \) and plausibility arguments for \( d > 1 \). They also discuss examples of intrinsically mixed quantum phases and mixed anomalies involving both strong and weak symmetries. The work highlights the importance of understanding the relationship between quantum anomalies and multipartite entanglement in the context of mixed states.