I thought L is dead already in episode 2, still have next episode?

Death Note the Last name
The second film continues the events from the first movie, and uses plot elements from the Yotsuba arc as well as the series' ending. The role of Higuchi is replaced by Takada, who is eventually captured as Higuchi is in the manga. Light kills Takada to regain ownership of his Death Note. Light then manipulates the investigation towards Misa, forcing Rem to kill L and Watari. As L is dying, Light admits to him that he is Kira. However, it is revealed later that L faked his death. L had already written his own name in Misa's Death Note (replacing the Note with a fake copy), setting his death for the maximum of 23 days, thus overriding Rem's Death Note. The investigation team surrounds Light, shooting him when he attempts to write on the hidden piece of Death Note in his watch. In a final gambit, Light asks Ryuk to kill the investigation team, but Ryuk writes down Light's name instead. Light dies in his father's arms. L obtains possession of both the Death Notes and burns them. Twenty days later, he dies a peaceful death after being congratulated by Soichiro. Soichiro agrees to not tell his family that Light was really Kira.

too bad yagami die

OMFG! i bought the first and second deathnote pirated disk and dont understnad anythin cause the subtitle all wrong. but i still like lULZ XD