"Although her public writing my seem pompous, her private writing appears relaxed and eloquent, as in the letters to her husband concerning her being working abroad."
I have a question about the words bold.
Normally, we non-native English learners are taught words that come after 'being' usually are adjectives, in the past participle form or nouns. Here we can see it's in the present participle form. In this case is it not a faulty sentence?