Hillary Clinton, the former secretary of State, and Bernie Sanders, the Vermont senator, held their first one-on-one debate Thursday, and the last one before the New Hampshire Democratic primary next week.

Sanders has a large lead in New Hampshire, but Clinton remains the national front-runner, leaving both sides eager to win over new voters.

Here are a few things we noticed:

Hillary Clinton cast the financial industry as an adversary in her presidential campaign — despite the money that that industry has poured into her White House effort. Bernie Sanders once again mischaracterized the share of the wealth taken by the very richest Americans.

A look at some of the claims in their latest Democratic presidential debate.

Sen. Bernie Sanders' declaration that he opposes the death penalty in all circumstances puts him in a growing, but still minority, part of the U.S. population.

The recent peak in support for capital punishment came in the mid-1990s, as the public reacted to the sharp increase in crime during the 1970s and 1980s. During Bill Clinton's presidency, roughly 8 in 10 Americans supported the death penalty, according to the nonpartisan Pew Research Center.

Violent crime began to decline in the 1990s, and a few years later support for capital punishment began to fall as well. At this point, a bare majority, 56%, support the death penalty, compared with 38% who oppose it.

Two different candidates, Hillary Clinton and Bernie Sanders, see two different paths to winning a general election.

For Sanders, whose ability to win a general election has been questioned, it's all about rousing the base with enthusiasm to turn out.

"Democrats win when there is a large voter turnout, when people are excited," he said. "Our campaign, up to now, has shown that we can create an enormous amount of enthusiasm from working people, from young people, who will get involved in the political process."

Hillary Clinton won by the slightest of margins in Monday's Iowa caucuses, and Bernie Sanders wants an audit of the results. 

Sanders, who lost to Clinton 49.9% to 49.6%, said Thursday night he agrees with a Des Moines Register editorial calling for a complete audit of the results. 

"At the end of of the day, no matter how it's recounted it will break even," Sanders said of the results. "I think we need improvements by which results are determined."