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This thread is resolved. Here is a description of the problem and solution.
Problem: How can I translate theme options?
Solution: The options in the theme customization are usually stored in the wp_options table and can be translated using the Admin Texts. Please go to WPML > String Translation and scroll down to the bottom of the page and click on the link "Translate texts in admin screens »". Then, scroll through that page and see if you find the the strings you are looking for. If so, tick the checkbox and click Apply to add it to the String Translation table. Now you can go back to WPML > String Translation and you should see the string added there.