According to question, they are exhibiting Avoidant type of attachment style .
Avoidant attachment types are extremely independent, self-directed, and frequently uncomfortable with intimacy. They are commitment phobic and masters at rationalizing their way out of any intimate situation. They frequently complain about feeling "crowded" or "suffocated" when people approach them.
An avoidant partner needs to have faith that you'll be there for them without being overly dependent. They frequently pay close attention to behaviors in order to draw that conclusion. Working together on projects that promote happy feelings will therefore gradually boost trust. A few examples include reading, taking a walk, and going to a show together
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