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Yes, the ending of LOLA implies that both sisters survived the war in the original (or restored) timeline. The film concludes with a title card stating that no trace of the LOLA machine was ever found, followed by a newspaper photograph showing both Mars and Thomasina (Thom) alive and celebrating V-E Day in 1945. This suggests that Mars's warning (the film itself) was successfully received by their past selves, leading them to destroy the machine or never use it, thus preventing the fascist timeline where Thom died and ensuring an Allied victory.
The ending of the film LOLA strongly implies, but does not definitively confirm, that the two main characters—Mars and Thomasina "Thoms" Hanlon—survived the war in the altered timeline, not the original one.
Here is a breakdown of the specific details and why the implication relates to the altered timeline:
In the original timeline, before Mars invents the machine LOLA and sends the radio signals, the sisters are living in obscurity. When the machine is activated and they begin broadcasting future music, they are thrust into the center of the conflict.
The film's ending takes place after the temporal paradox has been fully enacted and the timeline has significantly changed:
Specific Conclusion:
The ending implies that Thoms survived the war and lived a full life in the altered timeline. Mars's survival is much more ambiguous—she seemingly dies/vanishes in the paradox explosion. The photograph serves as a testament to their relationship and the life they shared, suggesting that at least one sister (Thoms) successfully navigated the catastrophic events they unleashed and lived to remember the other.
Note: The ending does not offer any information about their survival in the original timeline, as that timeline was replaced the moment they first used the machine.
This is the crucial piece of evidence that answers the user's query about survival.
Understanding this structure is necessary to interpret the ending correctly (the 'found footage' is the warning that prevented the events shown).