This thread is resolved. Here is a description of the problem and solution.
Problem: I see two messages on my WordPress installation:
"There is a problem with the String Translation table in your site. This problem is not causing a problem running the site right now, but can become a critical issue in the future. WPML support team knows how to fix it. Please add a message in the relevant support thread and we'll fix it for you."
"WPML is missing some records in the languages tables and it cannot fully work until this issue is fixed. Please go to the Troubleshooting page and click on "Clear language information and repopulate languages" to fix this problem."
Solution: Please create a new ticket. Our support will solve the problem on your database. Relevant Documentation: https://wpml.org/forums/topic/wpml-is-telling-me-that-it-has-a-broken-table-that-needs-fixing/
This is the technical support forum for WPML - the multilingual WordPress plugin.