In some fanfictions, Naruto and Sasuke leave the village because of a prophecy. They believe that they are meant to go on a journey outside to fulfill a greater destiny. It could also be due to personal growth. They feel restricted within the village and want to experience the wider world to become stronger. Sometimes, it's about revenge too. If someone from outside the village wrongs them and the village doesn't take proper action, they might leave to seek justice on their own.
One reason could be a sense of disillusionment with the village's leadership. Maybe they discover some dark secrets about the elders and decide they can't be part of it anymore. Another reason might be to protect the village in their own way. They could think that by leaving, they draw danger away from their home. Also, they might be seeking a greater power or knowledge that can only be found outside the village.
There are fanfictions where Naruto and Sasuke leave the village because of a rift between them and their peers. They might be misunderstood or misjudged by the other villagers. For example, if Naruto is wrongly accused of a crime he didn't commit and Sasuke stands by him, they could decide to leave rather than face the unjust treatment. Or perhaps they are tired of the constant fighting and politics within the village and simply want a fresh start away from it all.
Chapter 318, "The Changed Li Xuanling, Reform, and 9th-Rank Viscount", is the clearest early answer because it turns Xia Hong's situation into a concrete plot event. The chapter turns that into something concrete by moving from Madam, to reach Star-picking Hall, we need to cross that iron bridge. to Such a magical gown." "This gown is so beautiful." "This gown is too....
Chapter 342, "Founding Ceremony, Childhood Sweethearts, Did the Star-picking Hall Catch Fire?", is the clearest early answer because it turns Hong Gang's situation into a concrete plot event. A useful checkpoint is the way the scene starts with Hong Gang's Green Wolf Hunting Team has long since upgraded to an... and follows through with Hong Gang led his wife and son up the spiral staircase, reaching the....
Chapter 340, "Seclusion, the Growing Yu Generation, Family Banquet, Rapid Development (Part 4)", is the clearest early answer because it turns Han Yue's situation into a concrete plot event. The chapter turns that into something concrete by moving from Xia Hong made up his mind and withdrew his gaze, looking through the... to Xia Hong raised the cup and drank it all in one go, his cheeks....
Chapter 89, "Brother He, how can you be so unreasonable too?!", is the clearest early answer because it turns Wen Jiaojiao's situation into a concrete plot event. The chapter gives readers a real answer by opening on Director Sun took a step back, "What's the rush?
Chapter 316, "Blood Jade Fox and Mischief, Xia City in Turmoil, Migration Begins", is the clearest early answer because it pushes Wolf King into a new phase or setting. The setup is This breathing sound is just like what we heard at the first silver..., but the pressure keeps building through Is that Beast King following us?.
Chapter 300, "Relentless Pursuit, the Beast Tide Breaks the Wall", is the clearest early answer because it turns Yuan Cheng's situation into a concrete plot event. The chapter turns that into something concrete by moving from Second Year of Great Xia, July 4th Bang... to He should have gone to inspect other places; the main zone barrier is....
Chapter 298, "Hou Jing Surrenders, White Abyss Falls, Zhaoyang Changes Its Banner (Part 4)", is the clearest early answer because it turns Chen Yingba's situation into a concrete plot event. A useful checkpoint is the way the scene starts with I am Wu Ningyuan, I am willing to surrender, please show mercy." Chen... and follows through with Walking along the northeastern snow field of White Abyss, after more....
Chapter 257, "Did Jiang Li Get in Through the Back Door?", is the clearest early answer because it turns Flash Change's situation into a concrete plot event. A useful checkpoint is the way the scene starts with This nation seemed to have a particular love for bright colors.
Chapter 329, "Refining the Jade Dew Stone, Cold Element Festival Eve (2)", is the clearest early answer because it turns Small Wooden Table's situation into a concrete plot event. The chapter gives readers a real answer by opening on Li Xuanling's talent is even stronger than her father, Li Tianhua. and ending on 1000 points of silver amounts to 5000 pounds of silver..
Chapter 343, "Five Rounds of Bone Tempering, One Thousand Bristles Bone Burning in the Visible Yang Realm", is the clearest early answer because Star finally turns buildup into a real advancement. The chapter gives readers a real answer by opening on Hong Ye and the Zhao family members happened to be walking below the... and ending on Thus, he didn't rush the breakthrough but boldly attempted a second....