<human>: Can you condense the text into three sentences or less?

I (38m)am separated from my wife and have recently started a new relationship with someone (39f) who ticks all the boxes. This is still a bit secret as we don't think it's the right time just yet for my wife to find out, for a number of reasons.
The problem is my new GF is still in regular contact with her ex. They finished perhaps 1or 2 months before me and were together about 5mths; that was pretty secret as he has a wife. The contact now is in the form of texts, phone calls (initiated by both)and also nights out where he is one of a small group. These texts from him used to be quite late night, but have reduced a bit. On a number of occasions she has contacted him in such a way so I would not find out, ie waiting until she is in her car, waiting until I'm gone; a couple of times I've found out and then confronted her; she doesn't give a straight answer but it seems it's because she knows it would hurt me rather than she is actively trying to do anything illicit.
Initially I reacted in a very jealous and angry way, demanding her to stop all this contact; but this led to ill feeling and tears, and I thought long and hard and then changed my way of thinking and reactions after her reassuring me that he is just a friend, and she likes to hear from him. I am well aware that jealousy can kill a relationship.
I now reassure her that I trust her (I do) and I am over the initial jealousy...which is kind of true... but I still find it difficult. I question whether this relationship can ever be platonic.
He knows about me because I insisted she tell him, but I can't be sure about his intentions. She probably wouldn't have told him if I hadn't have insisted, yet she is a very closed person who does not like to disclose any information about her personal life to others.
I don't think she is trying to deceive me but it hurts. She tells me that she loves me, which I believe.
<bot>: new GF in regular contact with ex, she says innocent but she sometimes hides it. Struggling hard to be grown up and not jealous for fear of killing the relationship.