Coherence Session In Website

While working with the Search module team, I was told that when our user signs off, the proxy Coherence session on Website stays while the session in the Coherence servers are terminated. The problem occurs when the user sign on again, the proxy Coherence session in Website is reused but that session in Coherence server is no longer available. Is there way to make sure that the proxy Coherence session is terminated when the user logs off? Thanks.

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