Valmiki Ramayana Aranya Kanda Sarga 40 Shloka 21
Original Shlokaतच्छ्रुत्वा रामपदवीं सीतया च प्रचोदितः। अनुगच्छति सम्भ्रान्तः सौमित्रिरपि सौहृदात्।।3.40.21।।
1 source checked for this shloka
सौमित्रिरपि Lakshmana too, तत् that, श्रुत्वा on hearing, सीतया च by Sita, प्रचोदितः urged, सम्भ्रान्तः bewildered, सौहृदात् out of love , रामपदवीम् following the track of Rama, अनुगच्छति will go.
On hearing you, Lakshmana will be bewildered. Urged by Sita and out of love for Rama, Lakshmana will follow the same track as Rama.